321689749329 has 27 divisors (see below), whose sum is σ = 503190361947. Its totient is φ = 197949310416.

The previous prime is 321689749321. The next prime is 321689749331. The reversal of 321689749329 is 923947986123.

The square root of 321689749329 is 567177.

It is a perfect power (a square), and thus also a powerful number.

321689749329 is a `hidden beast` number, since 3 + 216 + 8 + 97 + 4 + 9 + 329 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47587241025 + 274102508304 = 218145^2 + 523548^2 .

It is not a de Polignac number, because 321689749329 - 2³ = 321689749321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321689749321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22112632 + ... + 22127174.

Almost surely, 2^321689749329 is an apocalyptic number.

321689749329 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

321689749329 is the 567177-th square number.

321689749329 is the 283589-th centered octagonal number.

It is an amenable number.

321689749329 is a deficient number, since it is larger than the sum of its proper divisors (181500612618).

321689749329 is an frugal number, since it uses more digits than its factorization.

321689749329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29118 (or 14559 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 321689749329 in words is "three hundred twenty-one billion, six hundred eighty-nine million, seven hundred forty-nine thousand, three hundred twenty-nine".