218389993289000 has 96 divisors (see below), whose sum is σ = 553366644962040. Its totient is φ = 80636305152000.

The previous prime is 218389993288981. The next prime is 218389993289053. The reversal of 218389993289000 is 982399983812.

It can be written as a sum of positive squares in 12 ways, for example, as 20744690873956 + 197645302415044 = 4554634^2 + 14058638^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645955241 + ... + 646293240.

Almost surely, 2^{218389993289000} is an apocalyptic number.

218389993289000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218389993289000 is an abundant number, since it is smaller than the sum of its proper divisors (334976651673040).

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

218389993289000 is a wasteful number, since it uses less digits than its factorization.

218389993289000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292248528 (or 1292248501 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 71.

The spelling of 218389993289000 in words is "two hundred eighteen trillion, three hundred eighty-nine billion, nine hundred ninety-three million, two hundred eighty-nine thousand".