34112414322311 has 8 divisors (see below), whose sum is σ = 36749997115104. Its totient is φ = 31476767375520.

The previous prime is 34112414322289. The next prime is 34112414322391. The reversal of 34112414322311 is 11322341421143.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34112414322311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34112414322391) 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 7 ways as a sum of consecutive naturals, for example, 483924896 + ... + 483995381.

It is an arithmetic number, because the mean of its divisors is an integer number (4593749639388).

Almost surely, 2^{34112414322311} is an apocalyptic number.

34112414322311 is a deficient number, since it is larger than the sum of its proper divisors (2637582792793).

34112414322311 is a wasteful number, since it uses less digits than its factorization.

34112414322311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967923001.

The product of its digits is 13824, while the sum is 32.

Adding to 34112414322311 its reverse (11322341421143), we get a palindrome (45434755743454).

The spelling of 34112414322311 in words is "thirty-four trillion, one hundred twelve billion, four hundred fourteen million, three hundred twenty-two thousand, three hundred eleven".