113884130304000 has 3584 divisors, whose sum is σ = 505228443033600. Its totient is φ = 24762698956800.

The previous prime is 113884130303969. The next prime is 113884130304013. The reversal of 113884130304000 is 403031488311.

It is a happy number.

113884130304000 is a `hidden beast` number, since 1 + 13 + 8 + 84 + 130 + 30 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-2 number, since 2×113884130304000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 578092031902 + ... + 578092032098.

Almost surely, 2^{113884130304000} is an apocalyptic number.

113884130304000 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 113884130304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252614221516800).

113884130304000 is an abundant number, since it is smaller than the sum of its proper divisors (391344312729600).

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

113884130304000 is a wasteful number, since it uses less digits than its factorization.

113884130304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 113884130304000 in words is "one hundred thirteen trillion, eight hundred eighty-four billion, one hundred thirty million, three hundred four thousand".