13039812864 has 405 divisors, whose sum is σ = 42804921159. Its totient is φ = 3946475520.

The previous prime is 13039812827. The next prime is 13039812883. The reversal of 13039812864 is 46821893031.

The square root of 13039812864 is 114192.

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

13039812864 is a `hidden beast` number, since 130 + 398 + 128 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9169977600 + 3869835264 = 95760^2 + 62208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 213767394 + ... + 213767454.

Almost surely, 2^13039812864 is an apocalyptic number.

13039812864 is the 114192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13039812864

13039812864 is an abundant number, since it is smaller than the sum of its proper divisors (29765108295).

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

13039812864 is an frugal number, since it uses more digits than its factorization.

13039812864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13039812864 in words is "thirteen billion, thirty-nine million, eight hundred twelve thousand, eight hundred sixty-four".