12704151564 has 192 divisors, whose sum is σ = 37763712000. Its totient is φ = 3660940800.

The previous prime is 12704151557. The next prime is 12704151599. The reversal of 12704151564 is 46515140721.

12704151564 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 41 + 51 + 564 = 666.

It is a super-2 number, since 2×12704151564² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2371489 + ... + 2376839.

It is an arithmetic number, because the mean of its divisors is an integer number (196686000).

Almost surely, 2^12704151564 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 12704151564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18881856000).

12704151564 is an abundant number, since it is smaller than the sum of its proper divisors (25059560436).

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

12704151564 is a wasteful number, since it uses less digits than its factorization.

12704151564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12704151564 in words is "twelve billion, seven hundred four million, one hundred fifty-one thousand, five hundred sixty-four".