23852640249 has 9 divisors (see below), whose sum is σ = 34454482959. Its totient is φ = 15901451280.

The previous prime is 23852640221. The next prime is 23852640263. The reversal of 23852640249 is 94204625832.

The square root of 23852640249 is 154443.

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

23852640249 is a `hidden beast` number, since 2 + 385 + 26 + 4 + 0 + 249 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5432721849 + 18419918400 = 73707^2 + 135720^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 23852640249 - 2⁷ = 23852640121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23852640289) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 437589 + ... + 489069.

Almost surely, 2^23852640249 is an apocalyptic number.

23852640249 is the 154443-rd square number.

23852640249 is the 77222-nd centered octagonal number.

It is an amenable number.

23852640249 is a deficient number, since it is larger than the sum of its proper divisors (10601842710).

23852640249 is an frugal number, since it uses more digits than its factorization.

23852640249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102968 (or 51484 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 23852640249 in words is "twenty-three billion, eight hundred fifty-two million, six hundred forty thousand, two hundred forty-nine".