115231424256 has 432 divisors, whose sum is σ = 375452794080. Its totient is φ = 35035545600.

The previous prime is 115231424237. The next prime is 115231424261. The reversal of 115231424256 is 652424132511.

115231424256 is a `hidden beast` number, since 1 + 1 + 52 + 314 + 242 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×115231424256² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 115231424256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71973856 + ... + 71975456.

It is an arithmetic number, because the mean of its divisors is an integer number (869103690).

Almost surely, 2^115231424256 is an apocalyptic number.

115231424256 is a gapful number since it is divisible by the number (16) 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 115231424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187726397040).

115231424256 is an abundant number, since it is smaller than the sum of its proper divisors (260221369824).

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

115231424256 is an equidigital number, since it uses as much as digits as its factorization.

115231424256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1708 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 115231424256 its reverse (652424132511), we get a palindrome (767655556767).

The spelling of 115231424256 in words is "one hundred fifteen billion, two hundred thirty-one million, four hundred twenty-four thousand, two hundred fifty-six".