113392288800 has 1440 divisors, whose sum is σ = 508167475200. Its totient is φ = 24029706240.

The previous prime is 113392288787. The next prime is 113392288813. The reversal of 113392288800 is 8882293311.

It is a happy number.

113392288800 is a `hidden beast` number, since 11 + 339 + 228 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113392288787) and next prime (113392288813).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×113392288800² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 508485489 + ... + 508485711.

It is an arithmetic number, because the mean of its divisors is an integer number (352894080).

Almost surely, 2^113392288800 is an apocalyptic number.

113392288800 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 113392288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254083737600).

113392288800 is an abundant number, since it is smaller than the sum of its proper divisors (394775186400).

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

113392288800 is a wasteful number, since it uses less digits than its factorization.

113392288800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 113392288800 in words is "one hundred thirteen billion, three hundred ninety-two million, two hundred eighty-eight thousand, eight hundred".