113884204896000 has 2592 divisors, whose sum is σ = 520190768033664. Its totient is φ = 23415422976000.

The previous prime is 113884204895987. The next prime is 113884204896013. The reversal of 113884204896000 is 698402488311.

It is a happy number.

113884204896000 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 8 + 4 + 20 + 4 + 8 + 9 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113884204895987) and next prime (113884204896013).

It is a super-2 number, since 2×113884204896000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23661789594 + ... + 23661794406.

Almost surely, 2^{113884204896000} is an apocalyptic number.

113884204896000 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 113884204896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260095384016832).

113884204896000 is an abundant number, since it is smaller than the sum of its proper divisors (406306563137664).

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

113884204896000 is a wasteful number, since it uses less digits than its factorization.

113884204896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 113884204896000 in words is "one hundred thirteen trillion, eight hundred eighty-four billion, two hundred four million, eight hundred ninety-six thousand".