115464626032320 has 336 divisors, whose sum is σ = 414839421914112. Its totient is φ = 29421868861440.

The previous prime is 115464626032289. The next prime is 115464626032337. The reversal of 115464626032320 is 23230626464511.

115464626032320 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 6 + 4 + 6 + 2 + 603 + 2 + 32 + 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64227285 + ... + 66000555.

Almost surely, 2^{115464626032320} is an apocalyptic number.

115464626032320 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 115464626032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207419710957056).

115464626032320 is an abundant number, since it is smaller than the sum of its proper divisors (299374795881792).

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

115464626032320 is a wasteful number, since it uses less digits than its factorization.

115464626032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774300 (or 1774287 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 115464626032320 in words is "one hundred fifteen trillion, four hundred sixty-four billion, six hundred twenty-six million, thirty-two thousand, three hundred twenty".