114593759289 has 45 divisors (see below), whose sum is σ = 177426486237. Its totient is φ = 73704629376.

The previous prime is 114593759279. The next prime is 114593759323. The reversal of 114593759289 is 982957395411.

The square root of 114593759289 is 338517.

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

114593759289 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 9 + 37 + 592 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53728922025 + 60864837264 = 231795^2 + 246708^2 .

It is not a de Polignac number, because 114593759289 - 2⁹ = 114593758777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114593759279) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 88352289 + ... + 88353585.

Almost surely, 2^114593759289 is an apocalyptic number.

114593759289 is the 338517-th square number.

114593759289 is the 169259-th centered octagonal number.

It is an amenable number.

114593759289 is a deficient number, since it is larger than the sum of its proper divisors (62832726948).

114593759289 is an frugal number, since it uses more digits than its factorization.

114593759289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 1329 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 63.

The spelling of 114593759289 in words is "one hundred fourteen billion, five hundred ninety-three million, seven hundred fifty-nine thousand, two hundred eighty-nine".