113793802881408 has 1024 divisors, whose sum is σ = 381373990502400. Its totient is φ = 33584526581760.

The previous prime is 113793802881397. The next prime is 113793802881413. The reversal of 113793802881408 is 804188208397311.

113793802881408 is a `hidden beast` number, since 1 + 1 + 3 + 79 + 3 + 80 + 2 + 8 + 81 + 408 = 666.

It is a congruent number.

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, 9560088385 + ... + 9560100287.

It is an arithmetic number, because the mean of its divisors is an integer number (372435537600).

Almost surely, 2^{113793802881408} is an apocalyptic number.

113793802881408 is a gapful number since it is divisible by the number (18) 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 113793802881408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190686995251200).

113793802881408 is an abundant number, since it is smaller than the sum of its proper divisors (267580187620992).

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

113793802881408 is an equidigital number, since it uses as much as digits as its factorization.

113793802881408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12059 (or 12029 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 113793802881408 in words is "one hundred thirteen trillion, seven hundred ninety-three billion, eight hundred two million, eight hundred eighty-one thousand, four hundred eight".