Antimagic labelings of a complete graph

In $1990$, Hartsfield and Ringel introduced antimagic graphs. Hartsfield and Ringel conjectured that every connected graph (and in particular, a tree) except K₂ is antimagic. In $2010$, Hefetz et al.\ raised two questions: Is every orientation of any simple connected undirected graph antimagic? and Given any undirected graph G, does there exist an orientation of G which is antimagic? They call such an orientation an { antimagic orientation} of G. Recently, Bhavale provided an edge labeling for a given graph on n vertices without isolated vertices. In this paper, using the labeling of Bhavale, we prove that a complete graph Kₙ for n ≥ 3 is super antimagic as well as totally antimagic total graph. We also prove that there exists an antimagic orientation of Kₙ for n ≥ 3.