22330400403329 has 2 divisors, whose sum is σ = 22330400403330. Its totient is φ = 22330400403328.

The previous prime is 22330400403313. The next prime is 22330400403331. The reversal of 22330400403329 is 92330400403322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22204074894400 + 126325508929 = 4712120^2 + 355423^2 .

It is a cyclic number.

It is not a de Polignac number, because 22330400403329 - 2⁴ = 22330400403313 is a prime.

Together with 22330400403331, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22330400403379) 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, 11165200201664 + 11165200201665.

It is an arithmetic number, because the mean of its divisors is an integer number (11165200201665).

Almost surely, 2^{22330400403329} is an apocalyptic number.

It is an amenable number.

22330400403329 is a deficient number, since it is larger than the sum of its proper divisors (1).

22330400403329 is an equidigital number, since it uses as much as digits as its factorization.

22330400403329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 35.

The spelling of 22330400403329 in words is "twenty-two trillion, three hundred thirty billion, four hundred million, four hundred three thousand, three hundred twenty-nine".