22414334211233 has 2 divisors, whose sum is σ = 22414334211234. Its totient is φ = 22414334211232.

The previous prime is 22414334211131. The next prime is 22414334211281. The reversal of 22414334211233 is 33211243341422.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13356744377344 + 9057589833889 = 3654688^2 + 3009583^2 .

It is a cyclic number.

It is not a de Polignac number, because 22414334211233 - 2⁴² = 18016287700129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22414334211193 and 22414334211202.

It is not a weakly prime, because it can be changed into another prime (22414334291233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11207167105616 + 11207167105617.

It is an arithmetic number, because the mean of its divisors is an integer number (11207167105617).

Almost surely, 2^{22414334211233} is an apocalyptic number.

It is an amenable number.

22414334211233 is a deficient number, since it is larger than the sum of its proper divisors (1).

22414334211233 is an equidigital number, since it uses as much as digits as its factorization.

22414334211233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 35.

Adding to 22414334211233 its reverse (33211243341422), we get a palindrome (55625577552655).

The spelling of 22414334211233 in words is "twenty-two trillion, four hundred fourteen billion, three hundred thirty-four million, two hundred eleven thousand, two hundred thirty-three".