113023733760 has 624 divisors, whose sum is σ = 450806428800. Its totient is φ = 25657344000.

The previous prime is 113023733749. The next prime is 113023733803. The reversal of 113023733760 is 67337320311.

It is a happy number.

113023733760 is a `hidden beast` number, since 1 + 1 + 30 + 237 + 337 + 60 = 666.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323850066 + ... + 323850414.

It is an arithmetic number, because the mean of its divisors is an integer number (722446200).

Almost surely, 2^113023733760 is an apocalyptic number.

113023733760 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 113023733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225403214400).

113023733760 is an abundant number, since it is smaller than the sum of its proper divisors (337782695040).

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

113023733760 is a wasteful number, since it uses less digits than its factorization.

113023733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The spelling of 113023733760 in words is "one hundred thirteen billion, twenty-three million, seven hundred thirty-three thousand, seven hundred sixty".