Largest Prime Number - 97
Smallest Prime Number - 11
Addition = 97+11
First, let us classify the letters of the word into consonants and vowels:
Consonants (3): N, T, Q
Vowels (4): A, I, U, E
In order to know the various arrangements, we do a similar method as in your previous question that is to group the vowels together and consider it 1 element. Hence, we have 4 elements to work with as we have 3 consonants and 1 group of vowels.
We permute these 4 elements, and then we also permute the group of 4 vowels within the group.
Therefore, there are 576 arrangements.