114400130304 has 144 divisors (see below), whose sum is σ = 314739371520. Its totient is φ = 36850851840.

The previous prime is 114400130263. The next prime is 114400130357. The reversal of 114400130304 is 403031004411.

It is a congruent number.

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, 18971962 + ... + 18977990.

It is an arithmetic number, because the mean of its divisors is an integer number (2185690080).

Almost surely, 2^114400130304 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 114400130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157369685760).

114400130304 is an abundant number, since it is smaller than the sum of its proper divisors (200339241216).

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

114400130304 is an equidigital number, since it uses as much as digits as its factorization.

114400130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 114400130304 its reverse (403031004411), we get a palindrome (517431134715).

The spelling of 114400130304 in words is "one hundred fourteen billion, four hundred million, one hundred thirty thousand, three hundred four".