115642034984256 has 224 divisors, whose sum is σ = 334373579225088. Its totient is φ = 34981295247360.

The previous prime is 115642034984219. The next prime is 115642034984263. The reversal of 115642034984256 is 652489430246511.

It is a self number, because there is not a number n which added to its sum of digits gives 115642034984256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3090113961 + ... + 3090151383.

Almost surely, 2^{115642034984256} is an apocalyptic number.

115642034984256 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 115642034984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167186789612544).

115642034984256 is an abundant number, since it is smaller than the sum of its proper divisors (218731544240832).

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

115642034984256 is a wasteful number, since it uses less digits than its factorization.

115642034984256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39989 (or 39979 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 60.

The spelling of 115642034984256 in words is "one hundred fifteen trillion, six hundred forty-two billion, thirty-four million, nine hundred eighty-four thousand, two hundred fifty-six".