22442095872 has 504 divisors, whose sum is σ = 78818765760. Its totient is φ = 6240706560.

The previous prime is 22442095843. The next prime is 22442095873. The reversal of 22442095872 is 27859024422.

22442095872 is a `hidden beast` number, since 2 + 2 + 44 + 20 + 9 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22442095873) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53560879 + ... + 53561297.

It is an arithmetic number, because the mean of its divisors is an integer number (156386440).

Almost surely, 2^22442095872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22442095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39409382880).

22442095872 is an abundant number, since it is smaller than the sum of its proper divisors (56376669888).

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

22442095872 is an frugal number, since it uses more digits than its factorization.

22442095872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 22442095872 in words is "twenty-two billion, four hundred forty-two million, ninety-five thousand, eight hundred seventy-two".