34105344350143 has 16 divisors (see below), whose sum is σ = 39394876482720. Its totient is φ = 29180696601600.

The previous prime is 34105344350111. The next prime is 34105344350149.

34105344350143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34105344350143 - 2⁵ = 34105344350111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34105344350096 and 34105344350105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34105344350149) 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, 15364273 + ... + 17443381.

It is an arithmetic number, because the mean of its divisors is an integer number (2462179780170).

Almost surely, 2^{34105344350143} is an apocalyptic number.

34105344350143 is a deficient number, since it is larger than the sum of its proper divisors (5289532132577).

34105344350143 is a wasteful number, since it uses less digits than its factorization.

34105344350143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166858.

The product of its (nonzero) digits is 518400, while the sum is 40.

It can be divided in two parts, 3410534 and 4350143, that added together give a palindrome (7760677).

The spelling of 34105344350143 in words is "thirty-four trillion, one hundred five billion, three hundred forty-four million, three hundred fifty thousand, one hundred forty-three".