218142022674433 has 72 divisors (see below), whose sum is σ = 261487309986168. Its totient is φ = 181754876160000.

The previous prime is 218142022674421. The next prime is 218142022674463. The reversal of 218142022674433 is 334476220241812.

It can be written as a sum of positive squares in 12 ways, for example, as 185618634901249 + 32523387773184 = 13624193^2 + 5702928^2 .

It is not a de Polignac number, because 218142022674433 - 2⁹ = 218142022673921 is a prime.

It is a super-2 number, since 2×218142022674433² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218142022674463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4433666233 + ... + 4433715433.

Almost surely, 2^{218142022674433} is an apocalyptic number.

It is an amenable number.

218142022674433 is a deficient number, since it is larger than the sum of its proper divisors (43345287311735).

218142022674433 is a wasteful number, since it uses less digits than its factorization.

218142022674433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50787 (or 50763 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 49.

The spelling of 218142022674433 in words is "two hundred eighteen trillion, one hundred forty-two billion, twenty-two million, six hundred seventy-four thousand, four hundred thirty-three".