16029585664 has 81 divisors (see below), whose sum is σ = 32966801679. Its totient is φ = 7778795520.

The previous prime is 16029585653. The next prime is 16029585683. The reversal of 16029585664 is 46658592061.

The square root of 16029585664 is 126608.

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 8805945600 + 7223640064 = 93840^2 + 84992^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

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, 83054752 + ... + 83054944.

Almost surely, 2^16029585664 is an apocalyptic number.

16029585664 is the 126608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16029585664

16029585664 is an abundant number, since it is smaller than the sum of its proper divisors (16937216015).

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

16029585664 is an frugal number, since it uses more digits than its factorization.

16029585664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 16029585664 in words is "sixteen billion, twenty-nine million, five hundred eighty-five thousand, six hundred sixty-four".