11223510656256 has 108 divisors (see below), whose sum is σ = 32499034439508. Its totient is φ = 3725113516032.

The previous prime is 11223510656233. The next prime is 11223510656263. The reversal of 11223510656256 is 65265601532211.

11223510656256 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 3 + 5 + 10 + 6 + 5 + 625 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3187510329600 + 8036000326656 = 1785360^2 + 2834784^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9916635 + ... + 10990298.

It is an arithmetic number, because the mean of its divisors is an integer number (300916985551).

Almost surely, 2^{11223510656256} is an apocalyptic number.

11223510656256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11223510656256 is an abundant number, since it is smaller than the sum of its proper divisors (21275523783252).

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

11223510656256 is a wasteful number, since it uses less digits than its factorization.

11223510656256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20907188 (or 20907171 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 11223510656256 in words is "eleven trillion, two hundred twenty-three billion, five hundred ten million, six hundred fifty-six thousand, two hundred fifty-six".