22791841128 has 256 divisors, whose sum is σ = 73958400000. Its totient is φ = 6368834304.

The previous prime is 22791841123. The next prime is 22791841147. The reversal of 22791841128 is 82114819722.

22791841128 is a `hidden beast` number, since 227 + 9 + 1 + 8 + 411 + 2 + 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 (22791841123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21320178 + ... + 21321246.

It is an arithmetic number, because the mean of its divisors is an integer number (288900000).

Almost surely, 2^22791841128 is an apocalyptic number.

22791841128 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 22791841128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36979200000).

22791841128 is an abundant number, since it is smaller than the sum of its proper divisors (51166558872).

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

22791841128 is a wasteful number, since it uses less digits than its factorization.

22791841128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1379 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The spelling of 22791841128 in words is "twenty-two billion, seven hundred ninety-one million, eight hundred forty-one thousand, one hundred twenty-eight".