12724972915264 has 63 divisors (see below), whose sum is σ = 26398088151267. Its totient is φ = 6085542697344.

The previous prime is 12724972915243. The next prime is 12724972915309. The reversal of 12724972915264 is 46251927942721.

The square root of 12724972915264 is 3567208.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 656356579 + ... + 656375965.

Almost surely, 2^{12724972915264} is an apocalyptic number.

12724972915264 is the 3567208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12724972915264

12724972915264 is an abundant number, since it is smaller than the sum of its proper divisors (13673115236003).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12724972915264 is an frugal number, since it uses more digits than its factorization.

12724972915264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38832 (or 19412 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 61.

The spelling of 12724972915264 in words is "twelve trillion, seven hundred twenty-four billion, nine hundred seventy-two million, nine hundred fifteen thousand, two hundred sixty-four".