52329193467664 has 45 divisors (see below), whose sum is σ = 101564436333087. Its totient is φ = 26119095553152.

The previous prime is 52329193467653. The next prime is 52329193467673. The reversal of 52329193467664 is 46676439192325.

The square root of 52329193467664 is 7233892.

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 1489327344400 + 50839866123264 = 1220380^2 + 7130208^2 .

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 52329193467664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21904223782 + ... + 21904226170.

Almost surely, 2^{52329193467664} is an apocalyptic number.

52329193467664 is the 7233892-nd square number.

It is an amenable number.

52329193467664 is a deficient number, since it is larger than the sum of its proper divisors (49235242865423).

52329193467664 is an frugal number, since it uses more digits than its factorization.

52329193467664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 3148 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 67.

The spelling of 52329193467664 in words is "fifty-two trillion, three hundred twenty-nine billion, one hundred ninety-three million, four hundred sixty-seven thousand, six hundred sixty-four".