113506482600 has 960 divisors, whose sum is σ = 478927680000. Its totient is φ = 24337635840.

The previous prime is 113506482587. The next prime is 113506482613. The reversal of 113506482600 is 6284605311.

It is a happy number.

113506482600 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 0 + 6 + 48 + 2 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (113506482587) and next prime (113506482613).

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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 299489211 + ... + 299489589.

It is an arithmetic number, because the mean of its divisors is an integer number (498883000).

Almost surely, 2^113506482600 is an apocalyptic number.

113506482600 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 113506482600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239463840000).

113506482600 is an abundant number, since it is smaller than the sum of its proper divisors (365421197400).

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

113506482600 is a wasteful number, since it uses less digits than its factorization.

113506482600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 113506482600 in words is "one hundred thirteen billion, five hundred six million, four hundred eighty-two thousand, six hundred".