115233304314112 has 144 divisors (see below), whose sum is σ = 251963501655600. Its totient is φ = 52353686568960.

The previous prime is 115233304314103. The next prime is 115233304314127. The reversal of 115233304314112 is 211413403332511.

It can be written as a sum of positive squares in 8 ways, for example, as 53363375640576 + 61869928673536 = 7305024^2 + 7865744^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2406636412 + ... + 2406684292.

It is an arithmetic number, because the mean of its divisors is an integer number (1749746539275).

Almost surely, 2^{115233304314112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115233304314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125981750827800).

115233304314112 is an abundant number, since it is smaller than the sum of its proper divisors (136730197341488).

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

115233304314112 is a wasteful number, since it uses less digits than its factorization.

115233304314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67012 (or 66998 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 115233304314112 its reverse (211413403332511), we get a palindrome (326646707646623).

The spelling of 115233304314112 in words is "one hundred fifteen trillion, two hundred thirty-three billion, three hundred four million, three hundred fourteen thousand, one hundred twelve".