113771127744 has 280 divisors, whose sum is σ = 349685305200. Its totient is φ = 36531855360.

The previous prime is 113771127739. The next prime is 113771127751. The reversal of 113771127744 is 447721177311.

113771127744 is a `hidden beast` number, since 1 + 1 + 377 + 1 + 1 + 277 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 113771127744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 129138184 + ... + 129139064.

It is an arithmetic number, because the mean of its divisors is an integer number (1248876090).

Almost surely, 2^113771127744 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 113771127744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174842652600).

113771127744 is an abundant number, since it is smaller than the sum of its proper divisors (235914177456).

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

113771127744 is an equidigital number, since it uses as much as digits as its factorization.

113771127744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1774 counting only the distinct ones).

The product of its digits is 230496, while the sum is 45.

The spelling of 113771127744 in words is "one hundred thirteen billion, seven hundred seventy-one million, one hundred twenty-seven thousand, seven hundred forty-four".