114113569249 has 27 divisors (see below), whose sum is σ = 125453198073. Its totient is φ = 103774310400.

The previous prime is 114113569243. The next prime is 114113569279. The reversal of 114113569249 is 942965311411.

The square root of 114113569249 is 337807.

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

It can be written as a sum of positive squares in 4 ways, for example, as 54561952225 + 59551617024 = 233585^2 + 244032^2 .

It is not a de Polignac number, because 114113569249 - 2⁵ = 114113569217 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114113569199 and 114113569208.

It is not an unprimeable number, because it can be changed into a prime (114113569243) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 178023969 + ... + 178024609.

Almost surely, 2^114113569249 is an apocalyptic number.

114113569249 is the 337807-th square number.

114113569249 is the 168904-th centered octagonal number.

It is an amenable number.

114113569249 is a deficient number, since it is larger than the sum of its proper divisors (11339628824).

114113569249 is an frugal number, since it uses more digits than its factorization.

114113569249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 689 counting only the distinct ones).

The product of its digits is 233280, while the sum is 46.

The spelling of 114113569249 in words is "one hundred fourteen billion, one hundred thirteen million, five hundred sixty-nine thousand, two hundred forty-nine".