113851309824 has 432 divisors, whose sum is σ = 402090054912. Its totient is φ = 30240571392.

The previous prime is 113851309811. The next prime is 113851309877. The reversal of 113851309824 is 428903158311.

113851309824 is a `hidden beast` number, since 11 + 38 + 513 + 0 + 98 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 113851309824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22754107 + ... + 22759109.

It is an arithmetic number, because the mean of its divisors is an integer number (930764016).

Almost surely, 2^113851309824 is an apocalyptic number.

113851309824 is a gapful number since it is divisible by the number (14) 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 113851309824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201045027456).

113851309824 is an abundant number, since it is smaller than the sum of its proper divisors (288238745088).

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

113851309824 is a wasteful number, since it uses less digits than its factorization.

113851309824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 113851309824 in words is "one hundred thirteen billion, eight hundred fifty-one million, three hundred nine thousand, eight hundred twenty-four".