115382707808256 has 1080 divisors, whose sum is σ = 425885821951590. Its totient is φ = 31026651070464.

The previous prime is 115382707808219. The next prime is 115382707808299. The reversal of 115382707808256 is 652808707283511.

115382707808256 is a `hidden beast` number, since 1 + 1 + 5 + 38 + 270 + 7 + 80 + 8 + 256 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 113090463360000 + 2292244448256 = 10634400^2 + 1514016^2 .

It is a super-2 number, since 2×115382707808256² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 115382707808193 and 115382707808202.

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 89 ways as a sum of consecutive naturals, for example, 2349115410 + ... + 2349164526.

Almost surely, 2^{115382707808256} is an apocalyptic number.

115382707808256 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 115382707808256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212942910975795).

115382707808256 is an abundant number, since it is smaller than the sum of its proper divisors (310503114143334).

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

115382707808256 is an equidigital number, since it uses as much as digits as its factorization.

115382707808256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49199 (or 49146 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 115382707808256 in words is "one hundred fifteen trillion, three hundred eighty-two billion, seven hundred seven million, eight hundred eight thousand, two hundred fifty-six".