14222333322241 has 16 divisors (see below), whose sum is σ = 15626004114240. Its totient is φ = 12837432171520.

The previous prime is 14222333322209. The next prime is 14222333322247.

It is a happy number.

14222333322241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14222333322241 - 2⁵ = 14222333322209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14222333322197 and 14222333322206.

It is not an unprimeable number, because it can be changed into a prime (14222333322247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6955171 + ... + 8764648.

It is an arithmetic number, because the mean of its divisors is an integer number (976625257140).

Almost surely, 2^{14222333322241} is an apocalyptic number.

14222333322241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14222333322241 is a deficient number, since it is larger than the sum of its proper divisors (1403670791999).

14222333322241 is a wasteful number, since it uses less digits than its factorization.

14222333322241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15720416.

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 1422233 and 3322241, that added together give a palindrome (4744474).

The spelling of 14222333322241 in words is "fourteen trillion, two hundred twenty-two billion, three hundred thirty-three million, three hundred twenty-two thousand, two hundred forty-one".