12931273536064 has 189 divisors, whose sum is σ = 28241074341081. Its totient is φ = 5872137223680.

The previous prime is 12931273536047. The next prime is 12931273536067. The reversal of 12931273536064 is 46063537213921.

It is a happy number.

The square root of 12931273536064 is 3596008.

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

12931273536064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1912910286400 + 11018363249664 = 1383080^2 + 3319392^2 .

It is a super-2 number, since 2×12931273536064² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12931273536067) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26552922829 + ... + 26552923315.

Almost surely, 2^{12931273536064} is an apocalyptic number.

12931273536064 is the 3596008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12931273536064

12931273536064 is an abundant number, since it is smaller than the sum of its proper divisors (15309800805017).

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

12931273536064 is an frugal number, since it uses more digits than its factorization.

12931273536064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 12931273536064 in words is "twelve trillion, nine hundred thirty-one billion, two hundred seventy-three million, five hundred thirty-six thousand, sixty-four".