34354306161 has 48 divisors (see below), whose sum is σ = 57906576000. Its totient is φ = 19618375392.

The previous prime is 34354306153. The next prime is 34354306169. The reversal of 34354306161 is 16160345343.

34354306161 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 4 + 30 + 616 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (34354306153) and next prime (34354306169).

It is not a de Polignac number, because 34354306161 - 2³ = 34354306153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34354306169) 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 in 47 ways as a sum of consecutive naturals, for example, 6995775 + ... + 7000683.

It is an arithmetic number, because the mean of its divisors is an integer number (1206387000).

Almost surely, 2^34354306161 is an apocalyptic number.

It is an amenable number.

34354306161 is a deficient number, since it is larger than the sum of its proper divisors (23552269839).

34354306161 is a wasteful number, since it uses less digits than its factorization.

34354306161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7203 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 34354306161 in words is "thirty-four billion, three hundred fifty-four million, three hundred six thousand, one hundred sixty-one".