22561241616 has 45 divisors (see below), whose sum is σ = 63145186221. Its totient is φ = 7519813056.

The previous prime is 22561241609. The next prime is 22561241639. The reversal of 22561241616 is 61614216522.

The square root of 22561241616 is 150204.

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

22561241616 is a `hidden beast` number, since 2 + 25 + 6 + 12 + 4 + 1 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21170250000 + 1390991616 = 145500^2 + 37296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1796190 + ... + 1808706.

Almost surely, 2^22561241616 is an apocalyptic number.

22561241616 is the 150204-th square number.

It is an amenable number.

22561241616 is an abundant number, since it is smaller than the sum of its proper divisors (40583944605).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22561241616 is an frugal number, since it uses more digits than its factorization.

22561241616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25048 (or 12522 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Multiplying 22561241616 by its sum of digits (36), we get a square (812204698176 = 901224²).

22561241616 divided by its sum of digits (36) gives a square (626701156 = 25034²).

The spelling of 22561241616 in words is "twenty-two billion, five hundred sixty-one million, two hundred forty-one thousand, six hundred sixteen".