12632275656 has 576 divisors, whose sum is σ = 47534497920. Its totient is φ = 2987228160.

The previous prime is 12632275631. The next prime is 12632275687. The reversal of 12632275656 is 65657223621.

12632275656 is a `hidden beast` number, since 1 + 2 + 63 + 2 + 27 + 565 + 6 = 666.

12632275656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (907200) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 173044836 + ... + 173044908.

It is an arithmetic number, because the mean of its divisors is an integer number (82525170).

Almost surely, 2^12632275656 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 12632275656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23767248960).

12632275656 is an abundant number, since it is smaller than the sum of its proper divisors (34902222264).

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

12632275656 is a wasteful number, since it uses less digits than its factorization.

12632275656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 109 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 12632275656 in words is "twelve billion, six hundred thirty-two million, two hundred seventy-five thousand, six hundred fifty-six".