22800094009 has 81 divisors (see below), whose sum is σ = 30538095021. Its totient is φ = 16959983040.

The previous prime is 22800093961. The next prime is 22800094021. The reversal of 22800094009 is 90049000822.

The square root of 22800094009 is 150997.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9101732409 + 13698361600 = 95403^2 + 117040^2 .

It is a de Polignac number, because none of the positive numbers 2^k-22800094009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22800094039) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 430190427 + ... + 430190479.

Almost surely, 2^22800094009 is an apocalyptic number.

22800094009 is the 150997-th square number.

22800094009 is the 75499-th centered octagonal number.

It is an amenable number.

22800094009 is a deficient number, since it is larger than the sum of its proper divisors (7738001012).

22800094009 is an equidigital number, since it uses as much as digits as its factorization.

22800094009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 22800094009 in words is "twenty-two billion, eight hundred million, ninety-four thousand, nine".