113307517440 has 480 divisors, whose sum is σ = 438284822976. Its totient is φ = 27889090560.

The previous prime is 113307517391. The next prime is 113307517441. The reversal of 113307517440 is 44715703311.

It is a happy number.

113307517440 is a `hidden beast` number, since 1 + 133 + 0 + 7 + 517 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113307517395 and 113307517404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113307517441) by changing a digit.

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, 8080035 + ... + 8094045.

Almost surely, 2^113307517440 is an apocalyptic number.

113307517440 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 113307517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219142411488).

113307517440 is an abundant number, since it is smaller than the sum of its proper divisors (324977305536).

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

113307517440 is an equidigital number, since it uses as much as digits as its factorization.

113307517440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14062 (or 14034 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 113307517440 in words is "one hundred thirteen billion, three hundred seven million, five hundred seventeen thousand, four hundred forty".