23782173629809 has 27 divisors (see below), whose sum is σ = 27832726534347. Its totient is φ = 20261856749904.

The previous prime is 23782173629743. The next prime is 23782173629833. The reversal of 23782173629809 is 90892637128732.

The square root of 23782173629809 is 4876697.

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

It can be written as a sum of positive squares in only one way, i.e., 21633521904225 + 2148651725584 = 4651185^2 + 1465828^2 .

It is not a de Polignac number, because 23782173629809 - 2¹¹ = 23782173627761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23782173629849) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5905678054 + ... + 5905682080.

Almost surely, 2^{23782173629809} is an apocalyptic number.

23782173629809 is the 4876697-th square number.

23782173629809 is the 2438349-th centered octagonal number.

It is an amenable number.

23782173629809 is a deficient number, since it is larger than the sum of its proper divisors (4050552904538).

23782173629809 is an frugal number, since it uses more digits than its factorization.

23782173629809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8414 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 67.

The spelling of 23782173629809 in words is "twenty-three trillion, seven hundred eighty-two billion, one hundred seventy-three million, six hundred twenty-nine thousand, eight hundred nine".