12918507264 has 360 divisors, whose sum is σ = 43939581840. Its totient is φ = 3739779072.

The previous prime is 12918507241. The next prime is 12918507289. The reversal of 12918507264 is 46270581921.

12918507264 is a `hidden beast` number, since 129 + 18 + 507 + 2 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4581247 + ... + 4584065.

It is an arithmetic number, because the mean of its divisors is an integer number (122054394).

Almost surely, 2^12918507264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12918507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21969790920).

12918507264 is an abundant number, since it is smaller than the sum of its proper divisors (31021074576).

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

12918507264 is a wasteful number, since it uses less digits than its factorization.

12918507264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12918507264 in words is "twelve billion, nine hundred eighteen million, five hundred seven thousand, two hundred sixty-four".