22653838368 has 270 divisors, whose sum is σ = 75571867917. Its totient is φ = 6436765440.

The previous prime is 22653838357. The next prime is 22653838423. The reversal of 22653838368 is 86383835622.

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.

22653838368 is a `hidden beast` number, since 2 + 26 + 538 + 3 + 83 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13691808144 + 8962030224 = 117012^2 + 94668^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106428.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 125159238 + ... + 125159418.

Almost surely, 2^22653838368 is an apocalyptic number.

22653838368 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 22653838368

22653838368 is an abundant number, since it is smaller than the sum of its proper divisors (52918029549).

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

22653838368 is an frugal number, since it uses more digits than its factorization.

22653838368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 193 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 22653838368 in words is "twenty-two billion, six hundred fifty-three million, eight hundred thirty-eight thousand, three hundred sixty-eight".