113987148800 has 792 divisors, whose sum is σ = 359079303168. Its totient is φ = 35094528000.

The previous prime is 113987148767. The next prime is 113987148811. The reversal of 113987148800 is 8841789311.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1605452765 + ... + 1605452835.

Almost surely, 2^113987148800 is an apocalyptic number.

113987148800 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 113987148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179539651584).

113987148800 is an abundant number, since it is smaller than the sum of its proper divisors (245092154368).

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

113987148800 is a wasteful number, since it uses less digits than its factorization.

113987148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 50.

The spelling of 113987148800 in words is "one hundred thirteen billion, nine hundred eighty-seven million, one hundred forty-eight thousand, eight hundred".