218200002812 has 96 divisors (see below), whose sum is σ = 452432494080. Its totient is φ = 91034254080.

The previous prime is 218200002799. The next prime is 218200002833.

218200002812 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×218200002812² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4760918 + ... + 4806530.

It is an arithmetic number, because the mean of its divisors is an integer number (4712838480).

Almost surely, 2^218200002812 is an apocalyptic number.

218200002812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

218200002812 is an abundant number, since it is smaller than the sum of its proper divisors (234232491268).

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

218200002812 is a wasteful number, since it uses less digits than its factorization.

218200002812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45843 (or 45841 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

It can be divided in two parts, 21820000 and 2812, that added together give a palindrome (21822812).

The spelling of 218200002812 in words is "two hundred eighteen billion, two hundred million, two thousand, eight hundred twelve".