115949328768 has 768 divisors, whose sum is σ = 442794240000. Its totient is φ = 29576171520.

The previous prime is 115949328709. The next prime is 115949328779. The reversal of 115949328768 is 867823949511.

115949328768 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 493 + 2 + 87 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68244783 + ... + 68246481.

It is an arithmetic number, because the mean of its divisors is an integer number (576555000).

Almost surely, 2^115949328768 is an apocalyptic number.

115949328768 is a gapful number since it is divisible by the number (18) 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 115949328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221397120000).

115949328768 is an abundant number, since it is smaller than the sum of its proper divisors (326844911232).

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

115949328768 is a wasteful number, since it uses less digits than its factorization.

115949328768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1755 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 115949328768 in words is "one hundred fifteen billion, nine hundred forty-nine million, three hundred twenty-eight thousand, seven hundred sixty-eight".