34331244213343 has 64 divisors (see below), whose sum is σ = 45531421286400. Its totient is φ = 25632331200000.

The previous prime is 34331244213337. The next prime is 34331244213367.

34331244213343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34331244213343 - 2¹³ = 34331244205151 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34331244213296 and 34331244213305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34331244213313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10360183 + ... + 13266343.

It is an arithmetic number, because the mean of its divisors is an integer number (711428457600).

Almost surely, 2^{34331244213343} is an apocalyptic number.

34331244213343 is a deficient number, since it is larger than the sum of its proper divisors (11200177073057).

34331244213343 is a wasteful number, since it uses less digits than its factorization.

34331244213343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906325 (or 2906311 counting only the distinct ones).

The product of its digits is 746496, while the sum is 40.

It can be divided in two parts, 3433124 and 4213343, that added together give a palindrome (7646467).

The spelling of 34331244213343 in words is "thirty-four trillion, three hundred thirty-one billion, two hundred forty-four million, two hundred thirteen thousand, three hundred forty-three".