113815358208 has 432 divisors, whose sum is σ = 348842317824. Its totient is φ = 35639377920.

The previous prime is 113815358203. The next prime is 113815358213. The reversal of 113815358208 is 802853518311.

113815358208 is a `hidden beast` number, since 1 + 1 + 38 + 1 + 535 + 82 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (113815358203) and next prime (113815358213).

It is not an unprimeable number, because it can be changed into a prime (113815358203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432757885 + ... + 432758147.

Almost surely, 2^113815358208 is an apocalyptic number.

113815358208 is a gapful number since it is divisible by the number (18) 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 113815358208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174421158912).

113815358208 is an abundant number, since it is smaller than the sum of its proper divisors (235026959616).

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

113815358208 is a wasteful number, since it uses less digits than its factorization.

113815358208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 113815358208 in words is "one hundred thirteen billion, eight hundred fifteen million, three hundred fifty-eight thousand, two hundred eight".