22901424128 has 180 divisors, whose sum is σ = 53134440975. Its totient is φ = 9861857280.

The previous prime is 22901424089. The next prime is 22901424157. The reversal of 22901424128 is 82142410922.

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 only one way, i.e., 11450712064 + 11450712064 = 107008^2 + 107008^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=107008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1205338103 + ... + 1205338121.

Almost surely, 2^22901424128 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 22901424128

22901424128 is an abundant number, since it is smaller than the sum of its proper divisors (30233016847).

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

22901424128 is an frugal number, since it uses more digits than its factorization.

22901424128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

Multiplying 22901424128 by its product of nonzero digits (18432), we get a square (422119049527296 = 20545536²).

The spelling of 22901424128 in words is "twenty-two billion, nine hundred one million, four hundred twenty-four thousand, one hundred twenty-eight".