die Erreichbarkeit
availability
The possibility of contacting a person, for example by phone or email.
Die ständige Erreichbarkeit durch das Smartphone kann auch zu Stress führen.
Constant availability via smartphone can also lead to stress.

availability / accessibility
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availability
The possibility of contacting a person, for example by phone or email.
Die ständige Erreichbarkeit durch das Smartphone kann auch zu Stress führen.
Constant availability via smartphone can also lead to stress.

The word is a good example of German word formation: the verb 'erreichen' (to reach) becomes the adjective 'erreichbar' (reachable) with '-bar'. With the ending '-keit', it becomes the noun 'die Erreichbarkeit' (availability/reachability).
Die Erreichbarkeit des Chefs nach Feierabend ist eingeschränkt.
The boss's availability after work is limited.
You can tell from the context whether a person or a place is meant. If it is about communication (phone, email), a person is meant. If it is about means of transportation (car, train, on foot), a place is meant.
Bitte teilen Sie mir Ihre telefonische Erreichbarkeit für nächste Woche mit.
Please let me know your availability by phone for next week.
When referring to people, 'Erreichbarkeit' (availability) is often combined with adjectives such as 'ständig' (constant), 'gut' (good), or 'schlecht' (poor). It is a key word in discussions about the modern working world.
Viele Arbeitnehmer klagen über die geforderte ständige Erreichbarkeit.
Many employees complain about the constant availability that is expected of them.
When referring to places, accessibility is often specified by the means of transportation. Typical phrases are 'die Erreichbarkeit mit dem Auto' (accessibility by car) or 'die Erreichbarkeit mit öffentlichen Verkehrsmitteln' (accessibility by public transportation).
Für Pendler ist die gute Erreichbarkeit mit der Bahn entscheidend.
For commuters, good accessibility by train is crucial.
connection / integration
'die Anbindung' and 'die Erreichbarkeit' are often connected when talking about places. 'Anbindung' describes the connection to a network, for example to buses, trains, roads, or the internet. 'Erreichbarkeit' describes more the result: a place can be reached easily, or a person can be contacted easily. That is why good 'Anbindung' can improve 'Erreichbarkeit'. The words can be confused because both occur in contexts involving routes and transportation. 'Anbindung' names the connection itself; 'Erreichbarkeit' says how easy it is to get somewhere or reach someone.

Am Wochenende ist die Erreichbarkeit der Ärztin nur per Notfallnummer möglich.
On weekends, the doctor can only be reached via the emergency number.
Die Firma achtet bei neuen Büros auf eine gute Anbindung an den Bahnhof.
When choosing new offices, the company pays attention to having a good connection to the train station.