218264627344 has 15 divisors (see below), whose sum is σ = 422891336217. Its totient is φ = 109131379296.

The previous prime is 218264627333. The next prime is 218264627353. The reversal of 218264627344 is 443726462812.

The square root of 218264627344 is 467188.

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

It can be written as a sum of positive squares in only one way, i.e., 88007155600 + 130257471744 = 296660^2 + 360912^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1810354 + ... + 1927150.

Almost surely, 2^218264627344 is an apocalyptic number.

218264627344 is the 467188-th square number.

It is an amenable number.

218264627344 is a deficient number, since it is larger than the sum of its proper divisors (204626708873).

218264627344 is an frugal number, since it uses more digits than its factorization.

218264627344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233602 (or 116799 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 49.

Multiplying 218264627344 by its sum of digits (49), we get a square (10694966739856 = 3270316²).

The spelling of 218264627344 in words is "two hundred eighteen billion, two hundred sixty-four million, six hundred twenty-seven thousand, three hundred forty-four".