34166345201 has 2 divisors, whose sum is σ = 34166345202. Its totient is φ = 34166345200.

The previous prime is 34166345183. The next prime is 34166345207. The reversal of 34166345201 is 10254366143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21346671025 + 12819674176 = 146105^2 + 113224^2 .

It is a cyclic number.

It is not a de Polignac number, because 34166345201 - 2¹⁴ = 34166328817 is a prime.

It is not a weakly prime, because it can be changed into another prime (34166345207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17083172600 + 17083172601.

It is an arithmetic number, because the mean of its divisors is an integer number (17083172601).

Almost surely, 2^34166345201 is an apocalyptic number.

It is an amenable number.

34166345201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34166345201 is an equidigital number, since it uses as much as digits as its factorization.

34166345201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 34166345201 in words is "thirty-four billion, one hundred sixty-six million, three hundred forty-five thousand, two hundred one".