12564974304 has 144 divisors (see below), whose sum is σ = 37037211120. Its totient is φ = 4035870720.

The previous prime is 12564974297. The next prime is 12564974321. The reversal of 12564974304 is 40347946521.

12564974304 is a `hidden beast` number, since 1 + 256 + 4 + 97 + 4 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 12564974304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5352459 + ... + 5354805.

It is an arithmetic number, because the mean of its divisors is an integer number (257202855).

Almost surely, 2^12564974304 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 12564974304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18518605560).

12564974304 is an abundant number, since it is smaller than the sum of its proper divisors (24472236816).

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

12564974304 is a wasteful number, since it uses less digits than its factorization.

12564974304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12564974304 in words is "twelve billion, five hundred sixty-four million, nine hundred seventy-four thousand, three hundred four".