22640217632 has 54 divisors (see below), whose sum is σ = 45362387637. Its totient is φ = 11123063424.

The previous prime is 22640217629. The next prime is 22640217637. The reversal of 22640217632 is 23671204622.

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 21964425616 + 675792016 = 148204^2 + 25996^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106396.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22640217592 and 22640217601.

It is not an unprimeable number, because it can be changed into a prime (22640217637) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57028058 + ... + 57028454.

Almost surely, 2^22640217632 is an apocalyptic number.

It is an amenable number.

22640217632 is an abundant number, since it is smaller than the sum of its proper divisors (22722170005).

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

22640217632 is an frugal number, since it uses more digits than its factorization.

22640217632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 22640217632 in words is "twenty-two billion, six hundred forty million, two hundred seventeen thousand, six hundred thirty-two".