218284101376128 has 160 divisors (see below), whose sum is σ = 658508717388060. Its totient is φ = 71764635820032.

The previous prime is 218284101376097. The next prime is 218284101376183. The reversal of 218284101376128 is 821673101482812.

218284101376128 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 8 + 4 + 1 + 0 + 13 + 7 + 612 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 214678994117184 + 3605107258944 = 14651928^2 + 1898712^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 143446125 + ... + 144959852.

Almost surely, 2^{218284101376128} is an apocalyptic number.

It is an amenable number.

218284101376128 is an abundant number, since it is smaller than the sum of its proper divisors (440224616011932).

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

218284101376128 is an equidigital number, since it uses as much as digits as its factorization.

218284101376128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288406076 (or 288406055 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 218284101376128 in words is "two hundred eighteen trillion, two hundred eighty-four billion, one hundred one million, three hundred seventy-six thousand, one hundred twenty-eight".