34353144135343 has 16 divisors (see below), whose sum is σ = 37746957427200. Its totient is φ = 31004478348480.

The previous prime is 34353144135337. The next prime is 34353144135353.

34353144135343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34353144135343 - 2²⁹ = 34352607264431 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34353144135293 and 34353144135302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34353144135353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50669155 + ... + 51342667.

It is an arithmetic number, because the mean of its divisors is an integer number (2359184839200).

Almost surely, 2^{34353144135343} is an apocalyptic number.

34353144135343 is a deficient number, since it is larger than the sum of its proper divisors (3393813291857).

34353144135343 is a wasteful number, since it uses less digits than its factorization.

34353144135343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707022.

The product of its digits is 4665600, while the sum is 46.

The spelling of 34353144135343 in words is "thirty-four trillion, three hundred fifty-three billion, one hundred forty-four million, one hundred thirty-five thousand, three hundred forty-three".