23952824289 has 27 divisors (see below), whose sum is σ = 36184343377. Its totient is φ = 15267455016.

The previous prime is 23952824279. The next prime is 23952824309. The reversal of 23952824289 is 98242825932.

It is a happy number.

The square root of 23952824289 is 154767.

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

23952824289 is a `hidden beast` number, since 2 + 39 + 528 + 2 + 4 + 2 + 89 = 666.

It is not a de Polignac number, because 23952824289 - 2⁵ = 23952824257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23952824209) 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, 10677802 + ... + 10680044.

Almost surely, 2^23952824289 is an apocalyptic number.

23952824289 is the 154767-th square number.

23952824289 is the 77384-th centered octagonal number.

It is an amenable number.

23952824289 is a deficient number, since it is larger than the sum of its proper divisors (12231519088).

23952824289 is an frugal number, since it uses more digits than its factorization.

23952824289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 2269 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

It can be divided in two parts, 23952 and 824289, that added together give a square (848241 = 921²).

The spelling of 23952824289 in words is "twenty-three billion, nine hundred fifty-two million, eight hundred twenty-four thousand, two hundred eighty-nine".