22442992128 has 240 divisors, whose sum is σ = 70388947200. Its totient is φ = 6857809920.

The previous prime is 22442992087. The next prime is 22442992129. The reversal of 22442992128 is 82129924422.

22442992128 is a `hidden beast` number, since 2 + 2 + 4 + 429 + 9 + 212 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22442992129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709978 + ... + 2718246.

It is an arithmetic number, because the mean of its divisors is an integer number (293287280).

Almost surely, 2^22442992128 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 22442992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35194473600).

22442992128 is an abundant number, since it is smaller than the sum of its proper divisors (47945955072).

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

22442992128 is a wasteful number, since it uses less digits than its factorization.

22442992128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8343 (or 8324 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 22442992128 in words is "twenty-two billion, four hundred forty-two million, nine hundred ninety-two thousand, one hundred twenty-eight".