34506164313 has 6 divisors (see below), whose sum is σ = 49842237354. Its totient is φ = 23004109536.

The previous prime is 34506164293. The next prime is 34506164419. The reversal of 34506164313 is 31346160543.

34506164313 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 6 + 1 + 643 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34505663049 + 501264 = 185757^2 + 708^2 .

It is not a de Polignac number, because 34506164313 - 2⁹ = 34506163801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34506165313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1917009120 + ... + 1917009137.

It is an arithmetic number, because the mean of its divisors is an integer number (8307039559).

Almost surely, 2^34506164313 is an apocalyptic number.

It is an amenable number.

34506164313 is a deficient number, since it is larger than the sum of its proper divisors (15336073041).

34506164313 is a wasteful number, since it uses less digits than its factorization.

34506164313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834018263 (or 3834018260 counting only the distinct ones).

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

The spelling of 34506164313 in words is "thirty-four billion, five hundred six million, one hundred sixty-four thousand, three hundred thirteen".