Can Verizon look up what apps I've downloaded on my iphone?

My friend downloaded this dirty app as a joke and I don't want to go into Verizon one day and they need to look up my phone stuff for some reason, so will any apps I've downloaded show up on that?

Verizon won't know.
Even if they do they won't say anything. What you do with your phone is your choice not theirs.

No they can't

only Google records that information (for the same reason Apple Appstore records that info---in the event you get an new android and need to reinstall your apps)

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