34016304161 has 12 divisors (see below), whose sum is σ = 39576326868. Its totient is φ = 29152160352.

The previous prime is 34016304151. The next prime is 34016304187. The reversal of 34016304161 is 16140361043.

It can be written as a sum of positive squares in 2 ways, for example, as 4230721936 + 29785582225 = 65044^2 + 172585^2 .

It is not a de Polignac number, because 34016304161 - 2¹⁴ = 34016287777 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34016304151) 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 in 11 ways as a sum of consecutive naturals, for example, 272915 + ... + 377511.

It is an arithmetic number, because the mean of its divisors is an integer number (3298027239).

Almost surely, 2^34016304161 is an apocalyptic number.

It is an amenable number.

34016304161 is a deficient number, since it is larger than the sum of its proper divisors (5560022707).

34016304161 is a wasteful number, since it uses less digits than its factorization.

34016304161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111248 (or 111241 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 34016304161 in words is "thirty-four billion, sixteen million, three hundred four thousand, one hundred sixty-one".