113363568679680 has 2304 divisors, whose sum is σ = 485809809408000. Its totient is φ = 24708818534400.

The previous prime is 113363568679639. The next prime is 113363568679741. The reversal of 113363568679680 is 86976865363311.

113363568679680 is a `hidden beast` number, since 1 + 1 + 3 + 36 + 356 + 86 + 7 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 113363568679599 and 113363568679608.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21763016916 + ... + 21763022124.

It is an arithmetic number, because the mean of its divisors is an integer number (210854952000).

Almost surely, 2^{113363568679680} is an apocalyptic number.

113363568679680 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 113363568679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242904904704000).

113363568679680 is an abundant number, since it is smaller than the sum of its proper divisors (372446240728320).

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

113363568679680 is a wasteful number, since it uses less digits than its factorization.

113363568679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 113363568679680 in words is "one hundred thirteen trillion, three hundred sixty-three billion, five hundred sixty-eight million, six hundred seventy-nine thousand, six hundred eighty".