115143094370304 has 3264 divisors, whose sum is σ = 480145763155968. Its totient is φ = 26601534259200.

The previous prime is 115143094370263. The next prime is 115143094370321. The reversal of 115143094370304 is 403073490341511.

115143094370304 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 4 + 309 + 4 + 37 + 0 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 115143094370304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 494176370572 + ... + 494176370804.

Almost surely, 2^{115143094370304} is an apocalyptic number.

115143094370304 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 115143094370304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240072881577984).

115143094370304 is an abundant number, since it is smaller than the sum of its proper divisors (365002668785664).

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

115143094370304 is an equidigital number, since it uses as much as digits as its factorization.

115143094370304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 115143094370304 in words is "one hundred fifteen trillion, one hundred forty-three billion, ninety-four million, three hundred seventy thousand, three hundred four".