329506996729 has 9 divisors (see below), whose sum is σ = 340497522351. Its totient is φ = 318860517960.

The previous prime is 329506996681. The next prime is 329506996787. The reversal of 329506996729 is 927699605923.

It is a happy number.

The square root of 329506996729 is 574027.

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., 92388642025 + 237118354704 = 303955^2 + 486948^2 .

It is not a de Polignac number, because 329506996729 - 2²³ = 329498608121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329506996829) 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 8 ways as a sum of consecutive naturals, for example, 17785579 + ... + 17804095.

It is an arithmetic number, because the mean of its divisors is an integer number (37833058039).

Almost surely, 2^329506996729 is an apocalyptic number.

329506996729 is the 574027-th square number.

329506996729 is the 287014-th centered octagonal number.

It is an amenable number.

329506996729 is a deficient number, since it is larger than the sum of its proper divisors (10990525622).

329506996729 is an frugal number, since it uses more digits than its factorization.

329506996729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37096 (or 18548 counting only the distinct ones).

The product of its (nonzero) digits is 99202320, while the sum is 67.

The spelling of 329506996729 in words is "three hundred twenty-nine billion, five hundred six million, nine hundred ninety-six thousand, seven hundred twenty-nine".