329043673272721 has 27 divisors (see below), whose sum is σ = 384206603779803. Its totient is φ = 281531791379520.

The previous prime is 329043673272719. The next prime is 329043673272911. The reversal of 329043673272721 is 127272376340923.

The square root of 329043673272721 is 18139561.

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., 256175870195025 + 72867803077696 = 16005495^2 + 8536264^2 .

It is not a de Polignac number, because 329043673272721 - 2¹ = 329043673272719 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329043673278721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3392049406 + ... + 3392146408.

Almost surely, 2^{329043673272721} is an apocalyptic number.

329043673272721 is the 18139561-st square number.

329043673272721 is the 9069781-st centered octagonal number.

It is an amenable number.

329043673272721 is a deficient number, since it is larger than the sum of its proper divisors (55162930507082).

329043673272721 is an frugal number, since it uses more digits than its factorization.

329043673272721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194062 (or 97031 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 58.

The spelling of 329043673272721 in words is "three hundred twenty-nine trillion, forty-three billion, six hundred seventy-three million, two hundred seventy-two thousand, seven hundred twenty-one".