Synonyms of intellectually

2 Syllables
shrewdly, keenly, sharply, aptly
3 Syllables
brilliantly, sensibly, alertly, wisely, capably, mentally, knowingly, prudently, skillfully
4 Syllables
rationally, astutely, discerningly, logically, knowledgeably, sagaciously, reasonably, judiciously, pensively, psychically
5 Syllables
comprehendingly, perspicaciously, resourcefully, intelligently
6 Syllables
introspectively, psychologically