113386815686340 has 432 divisors, whose sum is σ = 427197922639488. Its totient is φ = 24213643711488.

The previous prime is 113386815686311. The next prime is 113386815686413. The reversal of 113386815686340 is 43686518683311.

113386815686340 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 8 + 6 + 8 + 1 + 568 + 63 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2223664 + ... + 15222296.

It is an arithmetic number, because the mean of its divisors is an integer number (988884080184).

Almost surely, 2^{113386815686340} is an apocalyptic number.

113386815686340 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 113386815686340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213598961319744).

113386815686340 is an abundant number, since it is smaller than the sum of its proper divisors (313811106953148).

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

113386815686340 is a wasteful number, since it uses less digits than its factorization.

113386815686340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12998728 (or 12998716 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 113386815686340 in words is "one hundred thirteen trillion, three hundred eighty-six billion, eight hundred fifteen million, six hundred eighty-six thousand, three hundred forty".