114301144320 has 144 divisors (see below), whose sum is σ = 398235724992. Its totient is φ = 27709358080.

The previous prime is 114301144313. The next prime is 114301144337. The reversal of 114301144320 is 23441103411.

114301144320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114301144320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1310757 + ... + 1395236.

It is an arithmetic number, because the mean of its divisors is an integer number (2765525868).

Almost surely, 2^114301144320 is an apocalyptic number.

114301144320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114301144320 is an abundant number, since it is smaller than the sum of its proper divisors (283934580672).

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

114301144320 is a wasteful number, since it uses less digits than its factorization.

114301144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706028 (or 2706014 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114301144320 its reverse (23441103411), we get a palindrome (137742247731).

The spelling of 114301144320 in words is "one hundred fourteen billion, three hundred one million, one hundred forty-four thousand, three hundred twenty".