113855008320 has 224 divisors, whose sum is σ = 403763927040. Its totient is φ = 30201937920.

The previous prime is 113855008303. The next prime is 113855008363. The reversal of 113855008320 is 23800558311.

113855008320 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 550 + 0 + 83 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1615744 + ... + 1684736.

Almost surely, 2^113855008320 is an apocalyptic number.

113855008320 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 113855008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201881963520).

113855008320 is an abundant number, since it is smaller than the sum of its proper divisors (289908918720).

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

113855008320 is a wasteful number, since it uses less digits than its factorization.

113855008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69210 (or 69194 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 113855008320 in words is "one hundred thirteen billion, eight hundred fifty-five million, eight thousand, three hundred twenty".