164935649022329 has 2 divisors, whose sum is σ = 164935649022330. Its totient is φ = 164935649022328.

The previous prime is 164935649022187. The next prime is 164935649022341. The reversal of 164935649022329 is 923220946539461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141962339892025 + 22973309130304 = 11914795^2 + 4793048^2 .

It is a cyclic number.

It is not a de Polignac number, because 164935649022329 - 2¹² = 164935649018233 is a prime.

It is not a weakly prime, because it can be changed into another prime (164935649022349) 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 as a sum of consecutive naturals, namely, 82467824511164 + 82467824511165.

It is an arithmetic number, because the mean of its divisors is an integer number (82467824511165).

Almost surely, 2^{164935649022329} is an apocalyptic number.

It is an amenable number.

164935649022329 is a deficient number, since it is larger than the sum of its proper divisors (1).

164935649022329 is an equidigital number, since it uses as much as digits as its factorization.

164935649022329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151165440, while the sum is 65.

The spelling of 164935649022329 in words is "one hundred sixty-four trillion, nine hundred thirty-five billion, six hundred forty-nine million, twenty-two thousand, three hundred twenty-nine".