113968362768752 has 80 divisors (see below), whose sum is σ = 228302546630400. Its totient is φ = 55057527490560.

The previous prime is 113968362768737. The next prime is 113968362768761. The reversal of 113968362768752 is 257867263869311.

It is a self number, because there is not a number n which added to its sum of digits gives 113968362768752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119074378 + ... + 1119176214.

It is an arithmetic number, because the mean of its divisors is an integer number (2853781832880).

Almost surely, 2^{113968362768752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113968362768752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114151273315200).

113968362768752 is an abundant number, since it is smaller than the sum of its proper divisors (114334183861648).

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

113968362768752 is a wasteful number, since it uses less digits than its factorization.

113968362768752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105474 (or 105468 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 74.

The spelling of 113968362768752 in words is "one hundred thirteen trillion, nine hundred sixty-eight billion, three hundred sixty-two million, seven hundred sixty-eight thousand, seven hundred fifty-two".