22541589792 has 126 divisors (see below), whose sum is σ = 66605451507. Its totient is φ = 7506219456.

The previous prime is 22541589743. The next prime is 22541589827. The reversal of 22541589792 is 29798514522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22541589792 is a `hidden beast` number, since 2 + 2 + 54 + 1 + 589 + 7 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11270794896 + 11270794896 = 106164^2 + 106164^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106164.

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

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 22930933 + ... + 22931915.

Almost surely, 2^22541589792 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 22541589792

22541589792 is an abundant number, since it is smaller than the sum of its proper divisors (44063861715).

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

22541589792 is an frugal number, since it uses more digits than its factorization.

22541589792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 988 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 22541589792 in words is "twenty-two billion, five hundred forty-one million, five hundred eighty-nine thousand, seven hundred ninety-two".