2 × 11 × 13 × 23 × 29
1, 2, 11, 13, 22, 23, 26, 29, 46, 58, 143, 253, 286, 299, 319, 377, 506, 598, 638, 667, 754, 1334, 3289, 4147, 6578, 7337, 8294, 8671, 14674, 17342, 95381 and 190762
No.
Its nearest Fibonacci number neighbors are 121393 and 196418.