1729509051664 has 15 divisors (see below), whose sum is σ = 3350933979717. Its totient is φ = 864751895616.

The previous prime is 1729509051661. The next prime is 1729509051773. The reversal of 1729509051664 is 4661509059271.

The square root of 1729509051664 is 1315108.

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., 573866851600 + 1155642200064 = 757540^2 + 1075008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1729509051661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5096044 + ... + 5424820.

Almost surely, 2^{1729509051664} is an apocalyptic number.

1729509051664 is the 1315108-th square number.

It is an amenable number.

1729509051664 is a deficient number, since it is larger than the sum of its proper divisors (1621424928053).

1729509051664 is an frugal number, since it uses more digits than its factorization.

1729509051664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657562 (or 328779 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 1729509051664 in words is "one trillion, seven hundred twenty-nine billion, five hundred nine million, fifty-one thousand, six hundred sixty-four".