113439881465856 has 975 divisors, whose sum is σ = 381797627842015. Its totient is φ = 33537289420800.

The previous prime is 113439881465821. The next prime is 113439881465861. The reversal of 113439881465856 is 658564188934311.

The square root of 113439881465856 is 10650816.

It is a perfect power (a square), and thus also a powerful number.

113439881465856 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 3 + 9 + 8 + 81 + 465 + 85 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92628767379456 + 20811114086400 = 9624384^2 + 4561920^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 74 ways as a sum of consecutive naturals, for example, 2766826377196 + ... + 2766826377236.

Almost surely, 2^{113439881465856} is an apocalyptic number.

113439881465856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113439881465856 is the 10650816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113439881465856

113439881465856 is an abundant number, since it is smaller than the sum of its proper divisors (268357746376159).

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

113439881465856 is an frugal number, since it uses more digits than its factorization.

113439881465856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 57 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 113439881465856 in words is "one hundred thirteen trillion, four hundred thirty-nine billion, eight hundred eighty-one million, four hundred sixty-five thousand, eight hundred fifty-six".