113118322928256 has 384 divisors, whose sum is σ = 339387348418560. Its totient is φ = 36124262737920.

The previous prime is 113118322928203. The next prime is 113118322928263. The reversal of 113118322928256 is 652829223811311.

113118322928256 is a `hidden beast` number, since 1 + 1 + 3 + 11 + 83 + 229 + 282 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2118016305 + ... + 2118069711.

It is an arithmetic number, because the mean of its divisors is an integer number (883821219840).

Almost surely, 2^{113118322928256} is an apocalyptic number.

113118322928256 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 113118322928256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169693674209280).

113118322928256 is an abundant number, since it is smaller than the sum of its proper divisors (226269025490304).

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

113118322928256 is a wasteful number, since it uses less digits than its factorization.

113118322928256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54052 (or 54037 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 113118322928256 in words is "one hundred thirteen trillion, one hundred eighteen billion, three hundred twenty-two million, nine hundred twenty-eight thousand, two hundred fifty-six".