34126344362143 has 8 divisors (see below), whose sum is σ = 37239533413200. Its totient is φ = 31014954329280.

The previous prime is 34126344362093. The next prime is 34126344362147.

34126344362143 is nontrivially palindromic in base 10.

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-34126344362143 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34126344362093 and 34126344362102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34126344362147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449714880 + ... + 449790757.

It is an arithmetic number, because the mean of its divisors is an integer number (4654941676650).

Almost surely, 2^{34126344362143} is an apocalyptic number.

34126344362143 is a deficient number, since it is larger than the sum of its proper divisors (3113189051057).

34126344362143 is a wasteful number, since it uses less digits than its factorization.

34126344362143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899509097.

The product of its digits is 2985984, while the sum is 46.

It can be divided in two parts, 3412634 and 4362143, that added together give a palindrome (7774777).

The spelling of 34126344362143 in words is "thirty-four trillion, one hundred twenty-six billion, three hundred forty-four million, three hundred sixty-two thousand, one hundred forty-three".