23822511250561 has 9 divisors (see below), whose sum is σ = 23845135838979. Its totient is φ = 23799908122200.

The previous prime is 23822511250477. The next prime is 23822511250579. The reversal of 23822511250561 is 16505211522832.

It is a happy number.

The square root of 23822511250561 is 4880831.

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., 18306683234161 + 5515828016400 = 4278631^2 + 2348580^2 .

It is not a de Polignac number, because 23822511250561 - 2⁹ = 23822511250049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23822511250861) 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 8 ways as a sum of consecutive naturals, for example, 7911825546 + ... + 7911828556.

Almost surely, 2^{23822511250561} is an apocalyptic number.

23822511250561 is the 4880831-st square number.

23822511250561 is the 2440416-th centered octagonal number.

It is an amenable number.

23822511250561 is a deficient number, since it is larger than the sum of its proper divisors (22624588418).

23822511250561 is an frugal number, since it uses more digits than its factorization.

23822511250561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9264 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 23822511250561 in words is "twenty-three trillion, eight hundred twenty-two billion, five hundred eleven million, two hundred fifty thousand, five hundred sixty-one".