23153578569 has 135 divisors (see below), whose sum is σ = 40130679589. Its totient is φ = 13292959680.

The previous prime is 23153578549. The next prime is 23153578571. The reversal of 23153578569 is 96587535132.

The square root of 23153578569 is 152163.

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

23153578569 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 3 + 5 + 78 + 569 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1452753225 + 21700825344 = 38115^2 + 147312^2 .

It is not a de Polignac number, because 23153578569 - 2¹¹ = 23153576521 is a prime.

It is a super-2 number, since 2×23153578569² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (6804000) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (23153578549) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 436859947 + ... + 436859999.

Almost surely, 2^23153578569 is an apocalyptic number.

23153578569 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

23153578569 is the 152163-rd square number.

23153578569 is the 76082-nd centered octagonal number.

It is an amenable number.

23153578569 is a deficient number, since it is larger than the sum of its proper divisors (16977101020).

23153578569 is an equidigital number, since it uses as much as digits as its factorization.

23153578569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 96 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 23153578569 in words is "twenty-three billion, one hundred fifty-three million, five hundred seventy-eight thousand, five hundred sixty-nine".