22238561408 has 120 divisors (see below), whose sum is σ = 51877054905. Its totient is φ = 9495381504.

The previous prime is 22238561393. The next prime is 22238561467. The reversal of 22238561408 is 80416583222.

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 2 ways, for example, as 16632745024 + 5605816384 = 128968^2 + 74872^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105448.

It is a super-2 number, since 2×22238561408² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 82671098 + ... + 82671366.

Almost surely, 2^22238561408 is an apocalyptic number.

22238561408 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 22238561408

22238561408 is an abundant number, since it is smaller than the sum of its proper divisors (29638493497).

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

22238561408 is an frugal number, since it uses more digits than its factorization.

22238561408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 22238561408 in words is "twenty-two billion, two hundred thirty-eight million, five hundred sixty-one thousand, four hundred eight".