34314111312341 has 32 divisors (see below), whose sum is σ = 40249683302400. Its totient is φ = 28645649847360.

The previous prime is 34314111312319. The next prime is 34314111312347. The reversal of 34314111312341 is 14321311141343.

It is a happy number.

It is not a de Polignac number, because 34314111312341 - 2¹⁰ = 34314111311317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34314111312298 and 34314111312307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34314111312347) 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 31 ways as a sum of consecutive naturals, for example, 37467080 + ... + 38371998.

It is an arithmetic number, because the mean of its divisors is an integer number (1257802603200).

Almost surely, 2^{34314111312341} is an apocalyptic number.

It is an amenable number.

34314111312341 is a deficient number, since it is larger than the sum of its proper divisors (5935571990059).

34314111312341 is a wasteful number, since it uses less digits than its factorization.

34314111312341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905729.

The product of its digits is 10368, while the sum is 32.

Adding to 34314111312341 its reverse (14321311141343), we get a palindrome (48635422453684).

The spelling of 34314111312341 in words is "thirty-four trillion, three hundred fourteen billion, one hundred eleven million, three hundred twelve thousand, three hundred forty-one".