113624626080 has 576 divisors, whose sum is σ = 435049937280. Its totient is φ = 24829894656.

The previous prime is 113624626079. The next prime is 113624626097. The reversal of 113624626080 is 80626426311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51343054 + ... + 51345266.

It is an arithmetic number, because the mean of its divisors is an integer number (755295030).

Almost surely, 2^113624626080 is an apocalyptic number.

113624626080 is a gapful number since it is divisible by the number (10) 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 113624626080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217524968640).

113624626080 is an abundant number, since it is smaller than the sum of its proper divisors (321425311200).

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

113624626080 is a wasteful number, since it uses less digits than its factorization.

113624626080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 113624626080 in words is "one hundred thirteen billion, six hundred twenty-four million, six hundred twenty-six thousand, eighty".