34513344331543 has 16 divisors (see below), whose sum is σ = 43031332085760. Its totient is φ = 26892447573600.

The previous prime is 34513344331471. The next prime is 34513344331549.

34513344331543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34513344331543 - 2⁹ = 34513344331031 is a prime.

It is a super-3 number, since 3×34513344331543³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34513344331493 and 34513344331502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34513344331549) 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, 6940503 + ... + 10825768.

It is an arithmetic number, because the mean of its divisors is an integer number (2689458255360).

Almost surely, 2^{34513344331543} is an apocalyptic number.

34513344331543 is a deficient number, since it is larger than the sum of its proper divisors (8517987754217).

34513344331543 is a wasteful number, since it uses less digits than its factorization.

34513344331543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17791518.

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

It can be divided in two parts, 3451334 and 4331543, that added together give a palindrome (7782877).

The spelling of 34513344331543 in words is "thirty-four trillion, five hundred thirteen billion, three hundred forty-four million, three hundred thirty-one thousand, five hundred forty-three".