115724057344 has 216 divisors, whose sum is σ = 284792155200. Its totient is φ = 46711848960.

The previous prime is 115724057341. The next prime is 115724057353. The reversal of 115724057344 is 443750427511.

It is a self number, because there is not a number n which added to its sum of digits gives 115724057344.

It is not an unprimeable number, because it can be changed into a prime (115724057341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14910937 + ... + 14918695.

It is an arithmetic number, because the mean of its divisors is an integer number (1318482200).

Almost surely, 2^115724057344 is an apocalyptic number.

115724057344 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 115724057344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142396077600).

115724057344 is an abundant number, since it is smaller than the sum of its proper divisors (169068097856).

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

115724057344 is an equidigital number, since it uses as much as digits as its factorization.

115724057344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7859 (or 7838 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 43.

The spelling of 115724057344 in words is "one hundred fifteen billion, seven hundred twenty-four million, fifty-seven thousand, three hundred forty-four".