115466713824 has 768 divisors, whose sum is σ = 406667132928. Its totient is φ = 27820800000.

The previous prime is 115466713819. The next prime is 115466713849. The reversal of 115466713824 is 428317664511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 764680149 + ... + 764680299.

It is an arithmetic number, because the mean of its divisors is an integer number (529514496).

Almost surely, 2^115466713824 is an apocalyptic number.

115466713824 is a gapful number since it is divisible by the number (14) 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 115466713824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203333566464).

115466713824 is an abundant number, since it is smaller than the sum of its proper divisors (291200419104).

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

115466713824 is a wasteful number, since it uses less digits than its factorization.

115466713824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 115466713824 in words is "one hundred fifteen billion, four hundred sixty-six million, seven hundred thirteen thousand, eight hundred twenty-four".