22445339904 has 324 divisors, whose sum is σ = 74062886716. Its totient is φ = 6497501184.

The previous prime is 22445339899. The next prime is 22445339927. The reversal of 22445339904 is 40993354422.

22445339904 is a `hidden beast` number, since 2 + 24 + 4 + 533 + 9 + 90 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 517653504 + 21927686400 = 22752^2 + 148080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22445339904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8654832 + ... + 8657424.

Almost surely, 2^22445339904 is an apocalyptic number.

22445339904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22445339904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37031443358).

22445339904 is an abundant number, since it is smaller than the sum of its proper divisors (51617546812).

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

22445339904 is a wasteful number, since it uses less digits than its factorization.

22445339904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 22445339904 in words is "twenty-two billion, four hundred forty-five million, three hundred thirty-nine thousand, nine hundred four".