11338124029056 has 96 divisors (see below), whose sum is σ = 35592690528720. Its totient is φ = 3435795156480.

The previous prime is 11338124029019. The next prime is 11338124029079. The reversal of 11338124029056 is 65092042183311.

11338124029056 is a `hidden beast` number, since 1 + 1 + 3 + 381 + 240 + 29 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11338124029056² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447356490 + ... + 447381833.

Almost surely, 2^{11338124029056} is an apocalyptic number.

11338124029056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11338124029056 is an abundant number, since it is smaller than the sum of its proper divisors (24254566499664).

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

11338124029056 is a wasteful number, since it uses less digits than its factorization.

11338124029056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894738354 (or 894738339 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11338124029056 in words is "eleven trillion, three hundred thirty-eight billion, one hundred twenty-four million, twenty-nine thousand, fifty-six".