114414415504 has 45 divisors (see below), whose sum is σ = 224124026889. Its totient is φ = 56582794560.

The previous prime is 114414415483. The next prime is 114414415513. The reversal of 114414415504 is 405514414411.

The square root of 114414415504 is 338252.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31239855504 + 83174560000 = 176748^2 + 288400^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114414415504.

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 8 ways as a sum of consecutive naturals, for example, 139359414 + ... + 139360234.

Almost surely, 2^114414415504 is an apocalyptic number.

114414415504 is the 338252-nd square number.

It is an amenable number.

114414415504 is a deficient number, since it is larger than the sum of its proper divisors (109709611385).

114414415504 is an frugal number, since it uses more digits than its factorization.

114414415504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

Adding to 114414415504 its reverse (405514414411), we get a palindrome (519928829915).

The spelling of 114414415504 in words is "one hundred fourteen billion, four hundred fourteen million, four hundred fifteen thousand, five hundred four".