A metallic honeycomb body has an axial length, a partial volume covering at least 55% of the length, a radial dimension of at least 20 mm and inflow and outflow end sides. Sheet-metal layers are structured permitting a fluid, particularly internal combustion engine exhaust gas, to flow through the body between the end sides. The layers each have a surface area, partial regions and end side edges. Each of the layers has a multiplicity of holes formed at least in the partial regions in the partial volume. The holes have a hole surface area of between 1 and 120 mm2. The layer surface area in the partial volume is reduced by 10 to 80%, preferably 35 to 60%, by the holes compared to a layer without holes. The partial volume is spaced from each of the end sides, preventing the holes from touching and cutting through the end side edges. The partial volume amounts, in particular, to more than 60%, preferably more than 90%, of the total honeycomb body volume. A highly effective coating for treatment of a fluid for most known forms of honeycomb bodies yet with a reduced use of coating material while still being able to specifically match properties of a honeycomb body in terms of mechanical stability, heat capacity, thermal conductivity and the like to the requirements of individual applications, is provided.