34844222244843 has 96 divisors (see below), whose sum is σ = 57115734332160. Its totient is φ = 20978470972800.

The previous prime is 34844222244829. The next prime is 34844222244847.

34844222244843 is a `hidden beast` number, since 3 + 4 + 84 + 42 + 22 + 24 + 484 + 3 = 666.

34844222244843 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34844222244843 - 2²⁴ = 34844205467627 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34844222244843.

It is not an unprimeable number, because it can be changed into a prime (34844222244847) 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 95 ways as a sum of consecutive naturals, for example, 338863908 + ... + 338966718.

It is an arithmetic number, because the mean of its divisors is an integer number (594955565960).

Almost surely, 2^{34844222244843} is an apocalyptic number.

34844222244843 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34844222244843 is a deficient number, since it is larger than the sum of its proper divisors (22271512087317).

34844222244843 is a wasteful number, since it uses less digits than its factorization.

34844222244843 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103526 (or 103509 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 54.

The spelling of 34844222244843 in words is "thirty-four trillion, eight hundred forty-four billion, two hundred twenty-two million, two hundred forty-four thousand, eight hundred forty-three".