22213191168 has 600 divisors, whose sum is σ = 81788874552. Its totient is φ = 5964005376.

The previous prime is 22213191167. The next prime is 22213191179. The reversal of 22213191168 is 86119131222.

22213191168 is a `hidden beast` number, since 2 + 221 + 319 + 116 + 8 = 666.

It is a super-2 number, since 2×22213191168² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22213191167) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34545855 + ... + 34546497.

Almost surely, 2^22213191168 is an apocalyptic number.

22213191168 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 22213191168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40894437276).

22213191168 is an abundant number, since it is smaller than the sum of its proper divisors (59575683384).

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

22213191168 is an equidigital number, since it uses as much as digits as its factorization.

22213191168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 672 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 22213191168 in words is "twenty-two billion, two hundred thirteen million, one hundred ninety-one thousand, one hundred sixty-eight".