164505146424617 has 2 divisors, whose sum is σ = 164505146424618. Its totient is φ = 164505146424616.

The previous prime is 164505146424601. The next prime is 164505146424851. The reversal of 164505146424617 is 716424641505461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83336650889881 + 81168495534736 = 9128891^2 + 9009356^2 .

It is a cyclic number.

It is not a de Polignac number, because 164505146424617 - 2⁴ = 164505146424601 is a prime.

It is not a weakly prime, because it can be changed into another prime (164505046424617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82252573212308 + 82252573212309.

It is an arithmetic number, because the mean of its divisors is an integer number (82252573212309).

Almost surely, 2^{164505146424617} is an apocalyptic number.

It is an amenable number.

164505146424617 is a deficient number, since it is larger than the sum of its proper divisors (1).

164505146424617 is an equidigital number, since it uses as much as digits as its factorization.

164505146424617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19353600, while the sum is 56.

The spelling of 164505146424617 in words is "one hundred sixty-four trillion, five hundred five billion, one hundred forty-six million, four hundred twenty-four thousand, six hundred seventeen".