218091800862768 has 60 divisors (see below), whose sum is σ = 655388115865080. Its totient is φ = 62311943102976.

The previous prime is 218091800862763. The next prime is 218091800862769. The reversal of 218091800862768 is 867268008190812.

It is a junction number, because it is equal to n+sod(n) for n = 218091800862699 and 218091800862708.

It is not an unprimeable number, because it can be changed into a prime (218091800862763) 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 11 ways as a sum of consecutive naturals, for example, 46363050553 + ... + 46363055256.

It is an arithmetic number, because the mean of its divisors is an integer number (10923135264418).

Almost surely, 2^{218091800862768} is an apocalyptic number.

218091800862768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

218091800862768 is an abundant number, since it is smaller than the sum of its proper divisors (437296315002312).

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

218091800862768 is a wasteful number, since it uses less digits than its factorization.

218091800862768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92726105834 (or 92726105821 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 66.

The spelling of 218091800862768 in words is "two hundred eighteen trillion, ninety-one billion, eight hundred million, eight hundred sixty-two thousand, seven hundred sixty-eight".