8442114112441 has 2 divisors, whose sum is σ = 8442114112442. Its totient is φ = 8442114112440.

The previous prime is 8442114112409. The next prime is 8442114112463. The reversal of 8442114112441 is 1442114112448.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5624349008041 + 2817765104400 = 2371571^2 + 1678620^2 .

It is a cyclic number.

It is not a de Polignac number, because 8442114112441 - 2⁵ = 8442114112409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8442114112441.

It is not a weakly prime, because it can be changed into another prime (8442111112441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4221057056220 + 4221057056221.

It is an arithmetic number, because the mean of its divisors is an integer number (4221057056221).

Almost surely, 2^{8442114112441} is an apocalyptic number.

It is an amenable number.

8442114112441 is a deficient number, since it is larger than the sum of its proper divisors (1).

8442114112441 is an equidigital number, since it uses as much as digits as its factorization.

8442114112441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32768, while the sum is 37.

Adding to 8442114112441 its reverse (1442114112448), we get a palindrome (9884228224889).

The spelling of 8442114112441 in words is "eight trillion, four hundred forty-two billion, one hundred fourteen million, one hundred twelve thousand, four hundred forty-one".