12937747160464 has 45 divisors (see below), whose sum is σ = 29159664788961. Its totient is φ = 5544705620160.

The previous prime is 12937747160449. The next prime is 12937747160467. The reversal of 12937747160464 is 46406174773921.

The square root of 12937747160464 is 3596908.

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

12937747160464 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., 1546312146064 + 11391435014400 = 1243508^2 + 3375120^2 .

It is not an unprimeable number, because it can be changed into a prime (12937747160467) 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, 100649194 + ... + 100777654.

Almost surely, 2^{12937747160464} is an apocalyptic number.

12937747160464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12937747160464 is the 3596908-th square number.

It is an amenable number.

12937747160464 is an abundant number, since it is smaller than the sum of its proper divisors (16221917628497).

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

12937747160464 is an frugal number, since it uses more digits than its factorization.

12937747160464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256944 (or 128470 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 61.

The spelling of 12937747160464 in words is "twelve trillion, nine hundred thirty-seven billion, seven hundred forty-seven million, one hundred sixty thousand, four hundred sixty-four".