22404054159792 has 360 divisors, whose sum is σ = 67461217247424. Its totient is φ = 7194134610432.

The previous prime is 22404054159733. The next prime is 22404054159797. The reversal of 22404054159792 is 29795145040422.

22404054159792 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 4 + 0 + 5 + 41 + 597 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22404054159797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 890910963 + ... + 890936109.

Almost surely, 2^{22404054159792} 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 22404054159792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33730608623712).

22404054159792 is an abundant number, since it is smaller than the sum of its proper divisors (45057163087632).

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

22404054159792 is an equidigital number, since it uses as much as digits as its factorization.

22404054159792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25359 (or 25268 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 22404054159792 in words is "twenty-two trillion, four hundred four billion, fifty-four million, one hundred fifty-nine thousand, seven hundred ninety-two".