113396976000 has 1536 divisors, whose sum is σ = 531129830400. Its totient is φ = 23514624000.

The previous prime is 113396975971. The next prime is 113396976013. The reversal of 113396976000 is 679693311.

113396976000 is a `hidden beast` number, since 1 + 1 + 3 + 39 + 6 + 9 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 232847757 + ... + 232848243.

It is an arithmetic number, because the mean of its divisors is an integer number (345787650).

Almost surely, 2^113396976000 is an apocalyptic number.

113396976000 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 113396976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265564915200).

113396976000 is an abundant number, since it is smaller than the sum of its proper divisors (417732854400).

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

113396976000 is a wasteful number, since it uses less digits than its factorization.

113396976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 113396976000 in words is "one hundred thirteen billion, three hundred ninety-six million, nine hundred seventy-six thousand".