115845318720 has 560 divisors, whose sum is σ = 426047001600. Its totient is φ = 29856854016.

The previous prime is 115845318713. The next prime is 115845318737. The reversal of 115845318720 is 27813548511.

115845318720 is a `hidden beast` number, since 1 + 1 + 584 + 53 + 18 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 190848657 + ... + 190849263.

Almost surely, 2^115845318720 is an apocalyptic number.

115845318720 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 115845318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213023500800).

115845318720 is an abundant number, since it is smaller than the sum of its proper divisors (310201682880).

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

115845318720 is a wasteful number, since it uses less digits than its factorization.

115845318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 115845318720 in words is "one hundred fifteen billion, eight hundred forty-five million, three hundred eighteen thousand, seven hundred twenty".