I’m not sure how the maker’s of the Rubik’s Cube expect the general public to solve their puzzle, because they don’t believe you plebeians can even understand large numbers. According to the Wikipedia entry:
A Normal (3×3×3) Rubik’s Cube can have (8! × 38−1) × (12! × 212−1)/2 = 43,252,003,274,489,856,000 different positions (permutations), or about 4.3 × 1019, forty-three quintillion, but the puzzle is advertised as having only “billions” of positions, due to the general incomprehensibility of such a large number to laymen.