12564742656 has 80 divisors (see below), whose sum is σ = 33687111744. Its totient is φ = 4161490944.

The previous prime is 12564742639. The next prime is 12564742727. The reversal of 12564742656 is 65624746521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215101 + ... + 267203.

Almost surely, 2^12564742656 is an apocalyptic number.

12564742656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12564742656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16843555872).

12564742656 is an abundant number, since it is smaller than the sum of its proper divisors (21122369088).

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

12564742656 is an equidigital number, since it uses as much as digits as its factorization.

12564742656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52281 (or 52265 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The spelling of 12564742656 in words is "twelve billion, five hundred sixty-four million, seven hundred forty-two thousand, six hundred fifty-six".