22 × 7 × 13 × 509
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364, 509, 1018, 2036, 3563, 6617, 7126, 13234, 14252, 26468, 46319, 92638 and 185276
No.
Its nearest Fibonacci number neighbors are 121393 and 196418.