442222300401137 has 2 divisors, whose sum is σ = 442222300401138. Its totient is φ = 442222300401136.

The previous prime is 442222300401109. The next prime is 442222300401139. The reversal of 442222300401137 is 731104003222244.

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., 425293321814881 + 16928978586256 = 20622641^2 + 4114484^2 .

It is a cyclic number.

It is not a de Polignac number, because 442222300401137 - 2²² = 442222296206833 is a prime.

It is a super-2 number, since 2×442222300401137² (a number of 30 digits) contains 22 as substring.

Together with 442222300401139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 442222300401097 and 442222300401106.

It is not a weakly prime, because it can be changed into another prime (442222300401139) 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, 221111150200568 + 221111150200569.

It is an arithmetic number, because the mean of its divisors is an integer number (221111150200569).

Almost surely, 2^{442222300401137} is an apocalyptic number.

It is an amenable number.

442222300401137 is a deficient number, since it is larger than the sum of its proper divisors (1).

442222300401137 is an equidigital number, since it uses as much as digits as its factorization.

442222300401137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 442222300401137 in words is "four hundred forty-two trillion, two hundred twenty-two billion, three hundred million, four hundred one thousand, one hundred thirty-seven".