22181234688 has 108 divisors (see below), whose sum is σ = 64121930145. Its totient is φ = 7387004928.

The previous prime is 22181234683. The next prime is 22181234693. The reversal of 22181234688 is 88643218122.

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.

22181234688 is a `hidden beast` number, since 2 + 2 + 181 + 2 + 3 + 468 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (22181234683) and next prime (22181234693).

It can be written as a sum of positive squares in 2 ways, for example, as 21096981504 + 1084253184 = 145248^2 + 32928^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105312.

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 (22181234683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20219356 + ... + 20220452.

Almost surely, 2^22181234688 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 22181234688

22181234688 is an abundant number, since it is smaller than the sum of its proper divisors (41940695457).

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

22181234688 is an frugal number, since it uses more digits than its factorization.

22181234688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 1102 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 22181234688 in words is "twenty-two billion, one hundred eighty-one million, two hundred thirty-four thousand, six hundred eighty-eight".