22454943125328 has 480 divisors, whose sum is σ = 76479467500800. Its totient is φ = 6014894505984.

The previous prime is 22454943125327. The next prime is 22454943125383. The reversal of 22454943125328 is 82352134945422.

22454943125328 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 4 + 94 + 3 + 12 + 532 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22454943125327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150207003 + ... + 150356421.

It is an arithmetic number, because the mean of its divisors is an integer number (159332223960).

Almost surely, 2^{22454943125328} is an apocalyptic number.

22454943125328 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 22454943125328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38239733750400).

22454943125328 is an abundant number, since it is smaller than the sum of its proper divisors (54024524375472).

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

22454943125328 is a wasteful number, since it uses less digits than its factorization.

22454943125328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149619 (or 149610 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 22454943125328 in words is "twenty-two trillion, four hundred fifty-four billion, nine hundred forty-three million, one hundred twenty-five thousand, three hundred twenty-eight".