113668339599360 has 5760 divisors, whose sum is σ = 548505829872000. Its totient is φ = 22381407240192.

The previous prime is 113668339599359. The next prime is 113668339599383. The reversal of 113668339599360 is 63995933866311.

It is a happy number.

113668339599360 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 68 + 33 + 95 + 99 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1696542382047 + ... + 1696542382113.

It is an arithmetic number, because the mean of its divisors is an integer number (95226706575).

Almost surely, 2^{113668339599360} is an apocalyptic number.

113668339599360 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 113668339599360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274252914936000).

113668339599360 is an abundant number, since it is smaller than the sum of its proper divisors (434837490272640).

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

113668339599360 is an equidigital number, since it uses as much as digits as its factorization.

113668339599360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 510183360, while the sum is 72.

The spelling of 113668339599360 in words is "one hundred thirteen trillion, six hundred sixty-eight billion, three hundred thirty-nine million, five hundred ninety-nine thousand, three hundred sixty".