13180876864 has 63 divisors (see below), whose sum is σ = 26598744237. Its totient is φ = 6480681984.

The previous prime is 13180876843. The next prime is 13180876867. The reversal of 13180876864 is 46867808131.

The square root of 13180876864 is 114808.

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

It can be written as a sum of positive squares in only one way, i.e., 232257600 + 12948619264 = 15240^2 + 113792^2 .

It is not an unprimeable number, because it can be changed into a prime (13180876867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 103786369 + ... + 103786495.

Almost surely, 2^13180876864 is an apocalyptic number.

13180876864 is the 114808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13180876864

13180876864 is an abundant number, since it is smaller than the sum of its proper divisors (13417867373).

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

13180876864 is an frugal number, since it uses more digits than its factorization.

13180876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 13180876864 in words is "thirteen billion, one hundred eighty million, eight hundred seventy-six thousand, eight hundred sixty-four".