Multi-piece solid golf ball

A multi-piece solid golf ball comprising a core, an intermediate layer encasing the core and a cover which encases the intermediate layer and has numerous dimples formed on an outside surface thereof (ball surface), wherein the intermediate layer is formed of a resin material, the cover is formed of a urethane resin material, the core has a diameter of at least 38.0 mm, a sphere obtained by encasing the core with the intermediate layer (intermediate layer-encased sphere) has a surface hardness on the Shore D hardness scale of at least 69, the cover has a material hardness on the Shore D hardness scale of 55 or less, the (intermediate layer thickness)/(core diameter) value is from 0.025 to 0.043, the (cover thickness)/(core diameter) value is from 0.014 to 0.027, and the intermediate layer-encased sphere has an initial velocity A and the core has an initial velocity B which together satisfy the condition A−B≥0 m/s, and wherein the core has a hardness profile from a center to a surface thereof which satisfies the following condition:

• (JIS-C hardness at core surface−JIS-C hardness 5 mm inside of core surface)−(JIS-C hardness 5 mm outside of core center−JIS-C hardness at core center)≥0,
• wherein the surface of the cover has a coating layer formed thereon and the relationship between the material hardness Hc of the coating layer and the hardness 5 mm inside of the core surface (Cs−5) satisfies the following condition:
• [(Cs−5)−Hc]≥0.