A098128 Perfect powers whose products of nonzero digits are also perfect powers.

1, 4, 8, 9, 49, 81, 128, 144, 289, 343, 400, 441, 484, 841, 900, 1024, 1331, 1444, 2048, 2209, 2401, 2809, 3249, 3364, 4096, 4900, 7744, 8000, 8100, 8192, 8281, 8649, 9409, 9604, 10404, 11236, 11449, 11664, 11881, 13689, 13924, 14400, 14884, 16384, 16641