113793706746720 has 5376 divisors, whose sum is σ = 558832761446400. Its totient is φ = 21255070187520.

The previous prime is 113793706746673. The next prime is 113793706746739. The reversal of 113793706746720 is 27647607397311.

113793706746720 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 93 + 7 + 0 + 67 + 467 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 1440426667641 + ... + 1440426667719.

It is an arithmetic number, because the mean of its divisors is an integer number (103949546400).

Almost surely, 2^{113793706746720} is an apocalyptic number.

113793706746720 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 113793706746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279416380723200).

113793706746720 is an abundant number, since it is smaller than the sum of its proper divisors (445039054699680).

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

113793706746720 is an equidigital number, since it uses as much as digits as its factorization.

113793706746720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 63.

The spelling of 113793706746720 in words is "one hundred thirteen trillion, seven hundred ninety-three billion, seven hundred six million, seven hundred forty-six thousand, seven hundred twenty".