234859452129 has 81 divisors (see below), whose sum is σ = 365897227059. Its totient is φ = 150737137920.

The previous prime is 234859452071. The next prime is 234859452151. The reversal of 234859452129 is 921254958432.

The square root of 234859452129 is 484623.

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

234859452129 is a `hidden beast` number, since 2 + 3 + 4 + 8 + 5 + 94 + 521 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56903717025 + 177955735104 = 238545^2 + 421848^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 234859452129 - 2¹¹ = 234859450081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (234859452169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1216888257 + ... + 1216888449.

Almost surely, 2^234859452129 is an apocalyptic number.

234859452129 is the 484623-rd square number.

234859452129 is the 242312-nd centered octagonal number.

It is an amenable number.

234859452129 is a deficient number, since it is larger than the sum of its proper divisors (131037774930).

234859452129 is an frugal number, since it uses more digits than its factorization.

234859452129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 227 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 234859452129 in words is "two hundred thirty-four billion, eight hundred fifty-nine million, four hundred fifty-two thousand, one hundred twenty-nine".