113672988000 has 1152 divisors, whose sum is σ = 482175203328. Its totient is φ = 24998400000.

The previous prime is 113672987983. The next prime is 113672988031. The reversal of 113672988000 is 889276311.

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, 365507845 + ... + 365508155.

It is an arithmetic number, because the mean of its divisors is an integer number (418554864).

Almost surely, 2^113672988000 is an apocalyptic number.

113672988000 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 113672988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241087601664).

113672988000 is an abundant number, since it is smaller than the sum of its proper divisors (368502215328).

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

113672988000 is a wasteful number, since it uses less digits than its factorization.

113672988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 113672988000 in words is "one hundred thirteen billion, six hundred seventy-two million, nine hundred eighty-eight thousand".