115312099963536 has 640 divisors, whose sum is σ = 406686541824000. Its totient is φ = 30571770138624.

The previous prime is 115312099963531. The next prime is 115312099963537. The reversal of 115312099963536 is 635369990213511.

115312099963536 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 1 + 2 + 0 + 9 + 9 + 96 + 3 + 536 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (115312099963531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 327901045 + ... + 328252523.

It is an arithmetic number, because the mean of its divisors is an integer number (635447721600).

Almost surely, 2^{115312099963536} is an apocalyptic number.

115312099963536 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 115312099963536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203343270912000).

115312099963536 is an abundant number, since it is smaller than the sum of its proper divisors (291374441860464).

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

115312099963536 is a wasteful number, since it uses less digits than its factorization.

115312099963536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351668 (or 351656 counting only the distinct ones).

The product of its (nonzero) digits is 35429400, while the sum is 63.

The spelling of 115312099963536 in words is "one hundred fifteen trillion, three hundred twelve billion, ninety-nine million, nine hundred sixty-three thousand, five hundred thirty-six".