443001222114401 has 2 divisors, whose sum is σ = 443001222114402. Its totient is φ = 443001222114400.

The previous prime is 443001222114379. The next prime is 443001222114403. The reversal of 443001222114401 is 104411222100344.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 377183941658176 + 65817280456225 = 19421224^2 + 8112785^2 .

It is a cyclic number.

It is not a de Polignac number, because 443001222114401 - 2²² = 443001217920097 is a prime.

It is a super-3 number, since 3×443001222114401³ (a number of 45 digits) contains 333 as substring.

Together with 443001222114403, 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 (443001222114403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221500611057200 + 221500611057201.

It is an arithmetic number, because the mean of its divisors is an integer number (221500611057201).

Almost surely, 2^{443001222114401} is an apocalyptic number.

It is an amenable number.

443001222114401 is a deficient number, since it is larger than the sum of its proper divisors (1).

443001222114401 is an equidigital number, since it uses as much as digits as its factorization.

443001222114401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 443001222114401 its reverse (104411222100344), we get a palindrome (547412444214745).

The spelling of 443001222114401 in words is "four hundred forty-three trillion, one billion, two hundred twenty-two million, one hundred fourteen thousand, four hundred one".