22561304645101 has 8 divisors (see below), whose sum is σ = 22626130275000. Its totient is φ = 22496480044800.

The previous prime is 22561304645063. The next prime is 22561304645123. The reversal of 22561304645101 is 10154640316522.

It can be written as a sum of positive squares in 4 ways, for example, as 7783815422601 + 14777489222500 = 2789949^2 + 3844150^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22561304645101 - 2¹⁹ = 22561304120813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22561304645161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76020801 + ... + 76317001.

It is an arithmetic number, because the mean of its divisors is an integer number (2828266284375).

Almost surely, 2^{22561304645101} is an apocalyptic number.

It is an amenable number.

22561304645101 is a deficient number, since it is larger than the sum of its proper divisors (64825629899).

22561304645101 is a wasteful number, since it uses less digits than its factorization.

22561304645101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514799.

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 22561304645101 in words is "twenty-two trillion, five hundred sixty-one billion, three hundred four million, six hundred forty-five thousand, one hundred one".