114515364400 has 30 divisors (see below), whose sum is σ = 275123163932. Its totient is φ = 45806145600.

The previous prime is 114515364377. The next prime is 114515364427. The reversal of 114515364400 is 4463515411.

It is a super-2 number, since 2×114515364400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143143806 + ... + 143144605.

Almost surely, 2^114515364400 is an apocalyptic number.

114515364400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114515364400 is an abundant number, since it is smaller than the sum of its proper divisors (160607799532).

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

114515364400 is a wasteful number, since it uses less digits than its factorization.

114515364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286288429 (or 286288418 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 114515364400 its reverse (4463515411), we get a palindrome (118978879811).

The spelling of 114515364400 in words is "one hundred fourteen billion, five hundred fifteen million, three hundred sixty-four thousand, four hundred".