The deepest point on Earth is Challenger Deep in the Mariana Trench (western Pacific), plunging ~11,034 m (36,201 ft). The “center” of the ocean—a geometric midpoint equidistant from all seafloor points—is not a fixed location and does not coincide with the deepest trench.
Ocean basins are irregular; their geometric centers shift with plate tectonics and sedimentation. The deepest spots are subduction zones, not central points.