22261344008 has 108 divisors (see below), whose sum is σ = 46354606935. Its totient is φ = 10020157952.

The previous prime is 22261343953. The next prime is 22261344073. The reversal of 22261344008 is 80044316222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 17774755684 + 4486588324 = 133322^2 + 66982^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105502.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 208049891 + ... + 208049997.

Almost surely, 2^22261344008 is an apocalyptic number.

It is an amenable number.

22261344008 is an abundant number, since it is smaller than the sum of its proper divisors (24093262927).

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

22261344008 is a wasteful number, since it uses less digits than its factorization.

22261344008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Multiplying 22261344008 by its sum of digits (32), we get a square (712363008256 = 844016²).

Multiplying 22261344008 by its product of nonzero digits (18432), we get a square (410321092755456 = 20256384²).

The spelling of 22261344008 in words is "twenty-two billion, two hundred sixty-one million, three hundred forty-four thousand, eight".