Get tiles count for shapefile in specified zoom level

Question

I have polygonal shapefile, which contains several thousands of features. I need count tiles for 18 zoom level which generates for each feature in shapefile. I find Tile Calculator http://tools.geofabrik.de/calc/#2/28.5307/62.5469&type=Geofabrik_Standard, but there possible get count tiles for one rectangle area (in shapefile this areas many).

How can I calculate the number of tiles for the shapefile at a certain zoom?

Answer 1

I find simple solution: plugin TileCover for QGIS

run plugin:

select zoom level:

result:

Then needed features selected via spatial query.