22907985408 has 320 divisors, whose sum is σ = 84545303040. Its totient is φ = 5949849600.

The previous prime is 22907985389. The next prime is 22907985409. The reversal of 22907985408 is 80458970922.

22907985408 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 7 + 98 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22907985409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053688 + ... + 1075208.

It is an arithmetic number, because the mean of its divisors is an integer number (264204072).

Almost surely, 2^22907985408 is an apocalyptic number.

22907985408 is a gapful number since it is divisible by the number (28) 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 22907985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42272651520).

22907985408 is an abundant number, since it is smaller than the sum of its proper divisors (61637317632).

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

22907985408 is a wasteful number, since it uses less digits than its factorization.

22907985408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21566 (or 21544 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 22907985408 in words is "twenty-two billion, nine hundred seven million, nine hundred eighty-five thousand, four hundred eight".