13630638656 has 56 divisors (see below), whose sum is σ = 27735861216. Its totient is φ = 6644183040.

The previous prime is 13630638599. The next prime is 13630638677. The reversal of 13630638656 is 65683603631.

It is a self number, because there is not a number n which added to its sum of digits gives 13630638656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399551 + ... + 432321.

It is an arithmetic number, because the mean of its divisors is an integer number (495283236).

Almost surely, 2^13630638656 is an apocalyptic number.

13630638656 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 13630638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13867930608).

13630638656 is an abundant number, since it is smaller than the sum of its proper divisors (14105222560).

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

13630638656 is an equidigital number, since it uses as much as digits as its factorization.

13630638656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32947 (or 32937 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 47.

The spelling of 13630638656 in words is "thirteen billion, six hundred thirty million, six hundred thirty-eight thousand, six hundred fifty-six".