1,615 named features carry the IAU descriptor Crater — a circular depression, almost always an impact scar on The Moon, out of 4,787 in the mapped Solar System.
The IAU assigns each feature class on each world a naming theme. Across the 1,612 craters with a recorded origin, 66 categories appear, led by Germany.
Every one has its own page, on the surface it sits on.
1,375 smaller craters are not listed here. The full The Moon gazetteer has every one.
The same descriptor is used on 12 other worlds, for 3,172 more features.