219218731264 has 81 divisors (see below), whose sum is σ = 474041055789. Its totient is φ = 101132928000.

The previous prime is 219218731261. The next prime is 219218731283. The reversal of 219218731264 is 462137812912.

The square root of 219218731264 is 468208.

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., 32428806400 + 186789924864 = 180080^2 + 432192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (219218731261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 97386139 + ... + 97388389.

Almost surely, 2^219218731264 is an apocalyptic number.

219218731264 is the 468208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219218731264

219218731264 is an abundant number, since it is smaller than the sum of its proper divisors (254822324525).

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

219218731264 is an frugal number, since it uses more digits than its factorization.

219218731264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544 (or 2266 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The spelling of 219218731264 in words is "two hundred nineteen billion, two hundred eighteen million, seven hundred thirty-one thousand, two hundred sixty-four".