344114222411443 has 48 divisors (see below), whose sum is σ = 389639388001248. Its totient is φ = 303582911385600.

The previous prime is 344114222411441. The next prime is 344114222411447.

It is a happy number.

344114222411443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344114222411443 - 2¹ = 344114222411441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344114222411396 and 344114222411405.

It is not an unprimeable number, because it can be changed into a prime (344114222411441) 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 47 ways as a sum of consecutive naturals, for example, 135485428 + ... + 138001918.

It is an arithmetic number, because the mean of its divisors is an integer number (8117487250026).

Almost surely, 2^{344114222411443} is an apocalyptic number.

344114222411443 is a deficient number, since it is larger than the sum of its proper divisors (45525165589805).

344114222411443 is a wasteful number, since it uses less digits than its factorization.

344114222411443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516836 (or 2516825 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

The spelling of 344114222411443 in words is "three hundred forty-four trillion, one hundred fourteen billion, two hundred twenty-two million, four hundred eleven thousand, four hundred forty-three".