729883166224 has 45 divisors (see below), whose sum is σ = 1425460574797. Its totient is φ = 362045397632.

The previous prime is 729883166219. The next prime is 729883166269. The reversal of 729883166224 is 422661388927.

It is a happy number.

The square root of 729883166224 is 854332.

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., 428736848400 + 301146317824 = 654780^2 + 548768^2 .

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 8 ways as a sum of consecutive naturals, for example, 468173157 + ... + 468174715.

Almost surely, 2^729883166224 is an apocalyptic number.

729883166224 is the 854332-nd square number.

It is an amenable number.

729883166224 is a deficient number, since it is larger than the sum of its proper divisors (695577408573).

729883166224 is an frugal number, since it uses more digits than its factorization.

729883166224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 1698 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 58.

The spelling of 729883166224 in words is "seven hundred twenty-nine billion, eight hundred eighty-three million, one hundred sixty-six thousand, two hundred twenty-four".