22453936128 has 560 divisors, whose sum is σ = 76597733520. Its totient is φ = 6497501184.

The previous prime is 22453936121. The next prime is 22453936171. The reversal of 22453936128 is 82163935422.

22453936128 is a `hidden beast` number, since 2 + 24 + 5 + 3 + 9 + 3 + 612 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22453936121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163897276 + ... + 163897412.

It is an arithmetic number, because the mean of its divisors is an integer number (136781667).

Almost surely, 2^22453936128 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 22453936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38298866760).

22453936128 is an abundant number, since it is smaller than the sum of its proper divisors (54143797392).

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

22453936128 is a wasteful number, since it uses less digits than its factorization.

22453936128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 174 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 22453936128 in words is "twenty-two billion, four hundred fifty-three million, nine hundred thirty-six thousand, one hundred twenty-eight".