218133168 has 80 divisors (see below), whose sum is σ = 619769856. Its totient is φ = 65560320.

The previous prime is 218133121. The next prime is 218133187. The reversal of 218133168 is 861331812.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65430 + ... + 68682.

Almost surely, 2^218133168 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 218133168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309884928).

218133168 is an abundant number, since it is smaller than the sum of its proper divisors (401636688).

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

218133168 is a wasteful number, since it uses less digits than its factorization.

218133168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3396 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 218133168 is about 14769.3320092684. The cubic root of 218133168 is about 601.9686889305.

It can be divided in two parts, 218 and 133168, that added together give a triangular number (133386 = T₅₁₆).

The spelling of 218133168 in words is "two hundred eighteen million, one hundred thirty-three thousand, one hundred sixty-eight".