12997524723264 has 63 divisors (see below), whose sum is σ = 37255305853857. Its totient is φ = 4332479399424.

The previous prime is 12997524723259. The next prime is 12997524723269. The reversal of 12997524723264 is 46232742579921.

It is a happy number.

The square root of 12997524723264 is 3605208.

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

12997524723264 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 7 + 524 + 72 + 32 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12997524723259) and next prime (12997524723269).

It can be written as a sum of positive squares in only one way, i.e., 211121870400 + 12786402852864 = 459480^2 + 3575808^2 .

It is not an unprimeable number, because it can be changed into a prime (12997524723269) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 86449884 + ... + 86600100.

Almost surely, 2^{12997524723264} is an apocalyptic number.

12997524723264 is the 3605208-th square number.

It is an amenable number.

12997524723264 is an abundant number, since it is smaller than the sum of its proper divisors (24257781130593).

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

12997524723264 is an frugal number, since it uses more digits than its factorization.

12997524723264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300452 (or 150222 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 12997524723264 in words is "twelve trillion, nine hundred ninety-seven billion, five hundred twenty-four million, seven hundred twenty-three thousand, two hundred sixty-four".