Hello gd8cy0r9 and welcome to JustAnswer.
Unfortunately, there does not appear to be a single source of information about liquor licenses in the United States, and it might well be necessary to contact each licensing agency to obtain precise numbers. Since licensing agencies in many states include counties, cities and towns, that would mean contacting thousands of different agencies ... a Herculean task, to say the least.
Just as one example, the city of San Francisco currently has approximately 3500 outstanding liquor licenses, about 2100 of which are "onsite" sales licenses (that is, for onsite consumption). The remaining 1400 are for offsite sales.
There is a single site which summarizes licensing for bars and nightclubs in the US. It is here:http://www.nciaa.com/content.aspx?page_id=22&club_id=160641&module_id=29898
This organization estimates that there are currently 45,000 liquor licensed bars and nightclubs in the US. Of course, there are other types of businesses which also hold onsite liquor sales licenses, such as restaurants, hotels and casinos, so the total number will be much higher than 45,000.
Information about liquor licenses in each state is available here:http://license.org/liquor-license
but even this site has no nationwide statistics.
Thanks for asking your question here on JustAnswer. I'm sorry I can't give you a definitive answer and hope the information provided here is helpful.