113319976000 has 448 divisors, whose sum is σ = 354949890048. Its totient is φ = 34809600000.

The previous prime is 113319975953. The next prime is 113319976009. The reversal of 113319976000 is 679913311.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (113319976009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43734705 + ... + 43737295.

Almost surely, 2^113319976000 is an apocalyptic number.

113319976000 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 113319976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177474945024).

113319976000 is an abundant number, since it is smaller than the sum of its proper divisors (241629914048).

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

113319976000 is a wasteful number, since it uses less digits than its factorization.

113319976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 40.

The spelling of 113319976000 in words is "one hundred thirteen billion, three hundred nineteen million, nine hundred seventy-six thousand".