114232508289 has 27 divisors (see below), whose sum is σ = 166642777353. Its totient is φ = 75405359232.

The previous prime is 114232508249. The next prime is 114232508297. The reversal of 114232508289 is 982805232411.

The square root of 114232508289 is 337983.

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

114232508289 is a `hidden beast` number, since 1 + 1 + 42 + 325 + 0 + 8 + 289 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6950056689 + 107282451600 = 83367^2 + 327540^2 .

It is not a de Polignac number, because 114232508289 - 2⁷ = 114232508161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114232508249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 114575739 + ... + 114576735.

Almost surely, 2^114232508289 is an apocalyptic number.

114232508289 is the 337983-rd square number.

114232508289 is the 168992-nd centered octagonal number.

It is an amenable number.

114232508289 is a deficient number, since it is larger than the sum of its proper divisors (52410269064).

114232508289 is an frugal number, since it uses more digits than its factorization.

114232508289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 114232 and 508289, that added together give a square (622521 = 789²).

The spelling of 114232508289 in words is "one hundred fourteen billion, two hundred thirty-two million, five hundred eight thousand, two hundred eighty-nine".