113243126976 has 840 divisors, whose sum is σ = 410686886016. Its totient is φ = 30725775360.

The previous prime is 113243126959. The next prime is 113243127029. The reversal of 113243126976 is 679621342311.

113243126976 is a `hidden beast` number, since 1 + 1 + 324 + 312 + 6 + 9 + 7 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

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 119 ways as a sum of consecutive naturals, for example, 574838110 + ... + 574838306.

Almost surely, 2^113243126976 is an apocalyptic number.

113243126976 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 113243126976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205343443008).

113243126976 is an abundant number, since it is smaller than the sum of its proper divisors (297443759040).

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

113243126976 is a wasteful number, since it uses less digits than its factorization.

113243126976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 313 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 113243126976 in words is "one hundred thirteen billion, two hundred forty-three million, one hundred twenty-six thousand, nine hundred seventy-six".