115649064960 has 416 divisors, whose sum is σ = 434755738368. Its totient is φ = 25877544960.

The previous prime is 115649064959. The next prime is 115649064961. The reversal of 115649064960 is 69460946511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115649064959) and next prime (115649064961).

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×115649064960² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115649064961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8779339 + ... + 8792501.

Almost surely, 2^115649064960 is an apocalyptic number.

115649064960 is a gapful number since it is divisible by the number (10) 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 115649064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217377869184).

115649064960 is an abundant number, since it is smaller than the sum of its proper divisors (319106673408).

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

115649064960 is a wasteful number, since it uses less digits than its factorization.

115649064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13219 (or 13197 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 115649064960 in words is "one hundred fifteen billion, six hundred forty-nine million, sixty-four thousand, nine hundred sixty".