22638515328 has 648 divisors, whose sum is σ = 80118998505. Its totient is φ = 6128179200.

The previous prime is 22638515303. The next prime is 22638515329. The reversal of 22638515328 is 82351583622.

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.

22638515328 is a `hidden beast` number, since 2 + 2 + 63 + 8 + 51 + 532 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19356600384 + 3281914944 = 139128^2 + 57288^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106392.

Its product of digits (691200) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (22638515329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 730274673 + ... + 730274703.

Almost surely, 2^22638515328 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 22638515328

22638515328 is an abundant number, since it is smaller than the sum of its proper divisors (57480483177).

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

22638515328 is a wasteful number, since it uses less digits than its factorization.

22638515328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 60 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 22638515328 in words is "twenty-two billion, six hundred thirty-eight million, five hundred fifteen thousand, three hundred twenty-eight".