329799438065161 has 9 divisors (see below), whose sum is σ = 332854877362581. Its totient is φ = 326771793825984.

The previous prime is 329799438065147. The next prime is 329799438065191. The reversal of 329799438065161 is 161560834997923.

The square root of 329799438065161 is 18160381.

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

It can be written as a sum of positive squares in 4 ways, for example, as 82565954269561 + 247233483795600 = 9086581^2 + 15723660^2 .

It is not a de Polignac number, because 329799438065161 - 2¹⁷ = 329799437934089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329799438065191) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1979398225 + ... + 1979564833.

It is an arithmetic number, because the mean of its divisors is an integer number (36983875262509).

It is a 1-persistent number, because it is pandigital, but 2⋅329799438065161 = 659598876130322 is not.

Almost surely, 2^{329799438065161} is an apocalyptic number.

329799438065161 is the 18160381-st square number.

329799438065161 is the 9080191-st centered octagonal number.

It is an amenable number.

329799438065161 is a deficient number, since it is larger than the sum of its proper divisors (3055439297420).

329799438065161 is an frugal number, since it uses more digits than its factorization.

329799438065161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333436 (or 166718 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 73.

The spelling of 329799438065161 in words is "three hundred twenty-nine trillion, seven hundred ninety-nine billion, four hundred thirty-eight million, sixty-five thousand, one hundred sixty-one".