218066584576 has 33 divisors (see below), whose sum is σ = 435950087421. Its totient is φ = 109025820672.

The previous prime is 218066584531. The next prime is 218066584577. The reversal of 218066584576 is 675485660812.

It is a happy number.

The square root of 218066584576 is 466976.

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., 18279040000 + 199787544576 = 135200^2 + 446976^2 .

It is a super-2 number, since 2×218066584576² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 218066584576.

It is not an unprimeable number, because it can be changed into a prime (218066584577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14935936 + ... + 14950528.

Almost surely, 2^218066584576 is an apocalyptic number.

218066584576 is the 466976-th square number.

It is an amenable number.

218066584576 is a deficient number, since it is larger than the sum of its proper divisors (217883502845).

218066584576 is an frugal number, since it uses more digits than its factorization.

218066584576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29206 (or 14595 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 218066584576 in words is "two hundred eighteen billion, sixty-six million, five hundred eighty-four thousand, five hundred seventy-six".