329696288712001 has 2 divisors, whose sum is σ = 329696288712002. Its totient is φ = 329696288712000.

The previous prime is 329696288711929. The next prime is 329696288712041. The reversal of 329696288712001 is 100217882696923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 320985385084225 + 8710903627776 = 17916065^2 + 2951424^2 .

It is a cyclic number.

It is not a de Polignac number, because 329696288712001 - 2¹⁷ = 329696288580929 is a prime.

It is not a weakly prime, because it can be changed into another prime (329696288712041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164848144356000 + 164848144356001.

It is an arithmetic number, because the mean of its divisors is an integer number (164848144356001).

Almost surely, 2^{329696288712001} is an apocalyptic number.

It is an amenable number.

329696288712001 is a deficient number, since it is larger than the sum of its proper divisors (1).

329696288712001 is an equidigital number, since it uses as much as digits as its factorization.

329696288712001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31352832, while the sum is 64.

The spelling of 329696288712001 in words is "three hundred twenty-nine trillion, six hundred ninety-six billion, two hundred eighty-eight million, seven hundred twelve thousand, one".