10313632256 has 80 divisors (see below), whose sum is σ = 20924327424. Its totient is φ = 5078052864.

The previous prime is 10313632249. The next prime is 10313632261. The reversal of 10313632256 is 65223631301.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 11759690 + ... + 11760566.

Almost surely, 2^10313632256 is an apocalyptic number.

10313632256 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 10313632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10462163712).

10313632256 is an abundant number, since it is smaller than the sum of its proper divisors (10610695168).

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

10313632256 is an equidigital number, since it uses as much as digits as its factorization.

10313632256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 10313632256 in words is "ten billion, three hundred thirteen million, six hundred thirty-two thousand, two hundred fifty-six".