2 × 7 × 19 × 181 × 359
1, 2, 7, 14, 19, 38, 133, 181, 266, 359, 362, 718, 1267, 2513, 2534, 3439, 5026, 6821, 6878, 13642, 24073, 47747, 48146, 64979, 95494, 129958, 454853, 909706, 1234601, 2469202, 8642207 and 17284414
No.
Its nearest Fibonacci number neighbors are 14930352 and 24157817.