16643064064 has 81 divisors (see below), whose sum is σ = 36565657149. Its totient is φ = 7554708480.

The previous prime is 16643064019. The next prime is 16643064083. The reversal of 16643064064 is 46046034661.

The square root of 16643064064 is 129008.

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., 16281760000 + 361304064 = 127600^2 + 19008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22705042 + ... + 22705774.

Almost surely, 2^16643064064 is an apocalyptic number.

16643064064 is the 129008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16643064064

16643064064 is an abundant number, since it is smaller than the sum of its proper divisors (19922593085).

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

16643064064 is an frugal number, since it uses more digits than its factorization.

16643064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 16643064064 in words is "sixteen billion, six hundred forty-three million, sixty-four thousand, sixty-four".