113634650365544 has 288 divisors, whose sum is σ = 279159335582400. Its totient is φ = 43180512883200.

The previous prime is 113634650365531. The next prime is 113634650365573. The reversal of 113634650365544 is 445563056436311.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 113634650365544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8795925917 + ... + 8795938835.

It is an arithmetic number, because the mean of its divisors is an integer number (969303248550).

Almost surely, 2^{113634650365544} is an apocalyptic number.

113634650365544 is a gapful number since it is divisible by the number (14) 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 113634650365544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139579667791200).

113634650365544 is an abundant number, since it is smaller than the sum of its proper divisors (165524685216856).

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

113634650365544 is a wasteful number, since it uses less digits than its factorization.

113634650365544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17525 (or 17503 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 56.

The spelling of 113634650365544 in words is "one hundred thirteen trillion, six hundred thirty-four billion, six hundred fifty million, three hundred sixty-five thousand, five hundred forty-four".