113605680384000 has 5376 divisors, whose sum is σ = 536240839680000. Its totient is φ = 23412503347200.

The previous prime is 113605680383989. The next prime is 113605680384011. The reversal of 113605680384000 is 483086506311.

113605680384000 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 0 + 568 + 0 + 3 + 84 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113605680383989) and next prime (113605680384011).

It is a tau number, because it is divible by the number of its divisors (5376).

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 570882815901 + ... + 570882816099.

It is an arithmetic number, because the mean of its divisors is an integer number (99747180000).

Almost surely, 2^{113605680384000} is an apocalyptic number.

113605680384000 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 113605680384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268120419840000).

113605680384000 is an abundant number, since it is smaller than the sum of its proper divisors (422635159296000).

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

113605680384000 is an equidigital number, since it uses as much as digits as its factorization.

113605680384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 113605680384000 in words is "one hundred thirteen trillion, six hundred five billion, six hundred eighty million, three hundred eighty-four thousand".