34142312665311 has 64 divisors (see below), whose sum is σ = 46106277235200. Its totient is φ = 22472835840000.

The previous prime is 34142312665289. The next prime is 34142312665379. The reversal of 34142312665311 is 11356621324143.

It is not a de Polignac number, because 34142312665311 - 2⁹ = 34142312664799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142312565311) 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 63 ways as a sum of consecutive naturals, for example, 62417390340 + ... + 62417390886.

It is an arithmetic number, because the mean of its divisors is an integer number (720410581800).

Almost surely, 2^{34142312665311} is an apocalyptic number.

34142312665311 is a deficient number, since it is larger than the sum of its proper divisors (11963964569889).

34142312665311 is a wasteful number, since it uses less digits than its factorization.

34142312665311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120.

The product of its digits is 311040, while the sum is 42.

Adding to 34142312665311 its reverse (11356621324143), we get a palindrome (45498933989454).

The spelling of 34142312665311 in words is "thirty-four trillion, one hundred forty-two billion, three hundred twelve million, six hundred sixty-five thousand, three hundred eleven".