216111168 has 504 divisors, whose sum is σ = 843198720. Its totient is φ = 52254720.

The previous prime is 216111109. The next prime is 216111169. The reversal of 216111168 is 861111612.

It is a tau number, because it is divible by the number of its divisors (504).

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 not an unprimeable number, because it can be changed into a prime (216111169) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6971313 + ... + 6971343.

Almost surely, 2^216111168 is an apocalyptic number.

216111168 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 216111168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421599360).

216111168 is an abundant number, since it is smaller than the sum of its proper divisors (627087552).

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

216111168 is a wasteful number, since it uses less digits than its factorization.

216111168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 216111168 is about 14700.7199823682. The cubic root of 216111168 is about 600.1029156796.

The spelling of 216111168 in words is "two hundred sixteen million, one hundred eleven thousand, one hundred sixty-eight".