2218313133168 has 80 divisors (see below), whose sum is σ = 6313507016832. Its totient is φ = 665560480000.

The previous prime is 2218313133167. The next prime is 2218313133173. The reversal of 2218313133168 is 8613313138122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218313133167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20745438 + ... + 20852093.

Almost surely, 2^{2218313133168} is an apocalyptic number.

It is an amenable number.

2218313133168 is an abundant number, since it is smaller than the sum of its proper divisors (4095193883664).

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

2218313133168 is a wasteful number, since it uses less digits than its factorization.

2218313133168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41597654 (or 41597648 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The spelling of 2218313133168 in words is "two trillion, two hundred eighteen billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred sixty-eight".