22564431008 has 144 divisors (see below), whose sum is σ = 54942300000. Its totient is φ = 9069580800.

The previous prime is 22564430963. The next prime is 22564431013. The reversal of 22564431008 is 80013446522.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3005243 + ... + 3012741.

It is an arithmetic number, because the mean of its divisors is an integer number (381543750).

Almost surely, 2^22564431008 is an apocalyptic number.

22564431008 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 22564431008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27471150000).

22564431008 is an abundant number, since it is smaller than the sum of its proper divisors (32377868992).

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

22564431008 is a wasteful number, since it uses less digits than its factorization.

22564431008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7643 (or 7628 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

It can be divided in two parts, 225644 and 31008, that added together give a palindrome (256652).

The spelling of 22564431008 in words is "twenty-two billion, five hundred sixty-four million, four hundred thirty-one thousand, eight".