113714693406720 has 2560 divisors, whose sum is σ = 511401268224000. Its totient is φ = 23359521816576.

The previous prime is 113714693406707. The next prime is 113714693406733. The reversal of 113714693406720 is 27604396417311.

113714693406720 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 146 + 93 + 406 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113714693406707) and next prime (113714693406733).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-3 number, since 3×113714693406720³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193721794267 + ... + 193721794853.

It is an arithmetic number, because the mean of its divisors is an integer number (199766120400).

Almost surely, 2^{113714693406720} is an apocalyptic number.

113714693406720 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 113714693406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255700634112000).

113714693406720 is an abundant number, since it is smaller than the sum of its proper divisors (397686574817280).

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

113714693406720 is an frugal number, since it uses more digits than its factorization.

113714693406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 113714693406720 in words is "one hundred thirteen trillion, seven hundred fourteen billion, six hundred ninety-three million, four hundred six thousand, seven hundred twenty".