113816747520 has 960 divisors, whose sum is σ = 478733359104. Its totient is φ = 24427560960.

The previous prime is 113816747519. The next prime is 113816747531. The reversal of 113816747520 is 25747618311.

113816747520 is a `hidden beast` number, since 1 + 1 + 3 + 81 + 6 + 7 + 47 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226275589 + ... + 226276091.

Almost surely, 2^113816747520 is an apocalyptic number.

113816747520 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 113816747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239366679552).

113816747520 is an abundant number, since it is smaller than the sum of its proper divisors (364916611584).

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

113816747520 is a wasteful number, since it uses less digits than its factorization.

113816747520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 113816747520 in words is "one hundred thirteen billion, eight hundred sixteen million, seven hundred forty-seven thousand, five hundred twenty".