115647906816 has 616 divisors, whose sum is σ = 395799879384. Its totient is φ = 33443020800.

The previous prime is 115647906797. The next prime is 115647906823. The reversal of 115647906816 is 618609746511.

115647906816 is a `hidden beast` number, since 1 + 1 + 564 + 7 + 9 + 0 + 68 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31371494400 + 84276412416 = 177120^2 + 290304^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 164975266 + ... + 164975966.

Almost surely, 2^115647906816 is an apocalyptic number.

115647906816 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 115647906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197899939692).

115647906816 is an abundant number, since it is smaller than the sum of its proper divisors (280151972568).

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

115647906816 is an equidigital number, since it uses as much as digits as its factorization.

115647906816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 115647906816 in words is "one hundred fifteen billion, six hundred forty-seven million, nine hundred six thousand, eight hundred sixteen".