34112444211 has 24 divisors (see below), whose sum is σ = 49603567104. Its totient is φ = 22589499120.

The previous prime is 34112444207. The next prime is 34112444213. The reversal of 34112444211 is 11244421143.

34112444211 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 2 + 444 + 211 = 666.

It is not a de Polignac number, because 34112444211 - 2² = 34112444207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34112444213) 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 23 ways as a sum of consecutive naturals, for example, 2353990 + ... + 2368436.

It is an arithmetic number, because the mean of its divisors is an integer number (2066815296).

Almost surely, 2^34112444211 is an apocalyptic number.

34112444211 is a deficient number, since it is larger than the sum of its proper divisors (15491122893).

34112444211 is a wasteful number, since it uses less digits than its factorization.

34112444211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16191 (or 16188 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 34112444211 its reverse (11244421143), we get a palindrome (45356865354).

The spelling of 34112444211 in words is "thirty-four billion, one hundred twelve million, four hundred forty-four thousand, two hundred eleven".