34444022044443 has 32 divisors (see below), whose sum is σ = 52758031948800. Its totient is φ = 19768681994400.

The previous prime is 34444022044423. The next prime is 34444022044459.

34444022044443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34444022044443 - 2⁹ = 34444022043931 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34444022044395 and 34444022044404.

It is not an unprimeable number, because it can be changed into a prime (34444022044403) 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 31 ways as a sum of consecutive naturals, for example, 9226213 + ... + 12410118.

It is an arithmetic number, because the mean of its divisors is an integer number (1648688498400).

Almost surely, 2^{34444022044443} is an apocalyptic number.

34444022044443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34444022044443 is a deficient number, since it is larger than the sum of its proper divisors (18314009904357).

34444022044443 is a wasteful number, since it uses less digits than its factorization.

34444022044443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21638903.

The product of its (nonzero) digits is 2359296, while the sum is 42.

It can be divided in two parts, 3444402 and 2044443, that added together give a palindrome (5488845).

The spelling of 34444022044443 in words is "thirty-four trillion, four hundred forty-four billion, twenty-two million, forty-four thousand, four hundred forty-three".