22663431648 has 432 divisors, whose sum is σ = 80335841040. Its totient is φ = 6003486720.

The previous prime is 22663431617. The next prime is 22663431649. The reversal of 22663431648 is 84613436622.

22663431648 is a `hidden beast` number, since 2 + 2 + 6 + 634 + 3 + 1 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×22663431648² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22663431649) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8606140 + ... + 8608772.

It is an arithmetic number, because the mean of its divisors is an integer number (185962595).

Almost surely, 2^22663431648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22663431648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40167920520).

22663431648 is an abundant number, since it is smaller than the sum of its proper divisors (57672409392).

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

22663431648 is a wasteful number, since it uses less digits than its factorization.

22663431648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2681 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 22663431648 in words is "twenty-two billion, six hundred sixty-three million, four hundred thirty-one thousand, six hundred forty-eight".