218458834804609 has 81 divisors (see below), whose sum is σ = 263632448335977. Its totient is φ = 180494360036928.

The previous prime is 218458834804571. The next prime is 218458834804627. The reversal of 218458834804609 is 906408438854812.

The square root of 218458834804609 is 14780353.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 79245065025 + 218379589739584 = 281505^2 + 14777672^2 .

It is not a de Polignac number, because 218458834804609 - 2⁷ = 218458834804481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (218458834804009) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 570388602432 + ... + 570388602814.

Almost surely, 2^{218458834804609} is an apocalyptic number.

218458834804609 is the 14780353-rd square number.

218458834804609 is the 7390177-th centered octagonal number.

It is an amenable number.

218458834804609 is a deficient number, since it is larger than the sum of its proper divisors (45173613531368).

218458834804609 is an frugal number, since it uses more digits than its factorization.

218458834804609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 70.

The spelling of 218458834804609 in words is "two hundred eighteen trillion, four hundred fifty-eight billion, eight hundred thirty-four million, eight hundred four thousand, six hundred nine".