10914656256 has 416 divisors, whose sum is σ = 38624824320. Its totient is φ = 2978021376.

The previous prime is 10914656237. The next prime is 10914656261. The reversal of 10914656256 is 65265641901.

10914656256 is a `hidden beast` number, since 1 + 0 + 9 + 14 + 6 + 5 + 625 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17805006 + ... + 17805618.

Almost surely, 2^10914656256 is an apocalyptic number.

10914656256 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 10914656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19312412160).

10914656256 is an abundant number, since it is smaller than the sum of its proper divisors (27710168064).

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

10914656256 is an equidigital number, since it uses as much as digits as its factorization.

10914656256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10914656256 in words is "ten billion, nine hundred fourteen million, six hundred fifty-six thousand, two hundred fifty-six".