164636002300801 has 2 divisors, whose sum is σ = 164636002300802. Its totient is φ = 164636002300800.

The previous prime is 164636002300727. The next prime is 164636002300837. The reversal of 164636002300801 is 108003200636461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100282298951025 + 64353703349776 = 10014105^2 + 8022076^2 .

It is a cyclic number.

It is not a de Polignac number, because 164636002300801 - 2¹¹ = 164636002298753 is a prime.

It is not a weakly prime, because it can be changed into another prime (164636002300871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82318001150400 + 82318001150401.

It is an arithmetic number, because the mean of its divisors is an integer number (82318001150401).

Almost surely, 2^{164636002300801} is an apocalyptic number.

It is an amenable number.

164636002300801 is a deficient number, since it is larger than the sum of its proper divisors (1).

164636002300801 is an equidigital number, since it uses as much as digits as its factorization.

164636002300801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 164636002300801 in words is "one hundred sixty-four trillion, six hundred thirty-six billion, two million, three hundred thousand, eight hundred one".