164587545785461 has 2 divisors, whose sum is σ = 164587545785462. Its totient is φ = 164587545785460.

The previous prime is 164587545785447. The next prime is 164587545785473.

164587545785461 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164566435439025 + 21110346436 = 12828345^2 + 145294^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 164587545785461 - 2¹¹ = 164587545783413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164587545705461) 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, 82293772892730 + 82293772892731.

It is an arithmetic number, because the mean of its divisors is an integer number (82293772892731).

Almost surely, 2^{164587545785461} is an apocalyptic number.

It is an amenable number.

164587545785461 is a deficient number, since it is larger than the sum of its proper divisors (1).

164587545785461 is an equidigital number, since it uses as much as digits as its factorization.

164587545785461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4515840000, while the sum is 76.

The spelling of 164587545785461 in words is "one hundred sixty-four trillion, five hundred eighty-seven billion, five hundred forty-five million, seven hundred eighty-five thousand, four hundred sixty-one".