22 × 13 × 211 × 421
1, 2, 4, 13, 26, 52, 211, 421, 422, 842, 844, 1684, 2743, 5473, 5486, 10946, 10972, 21892, 88831, 177662, 355324, 1154803, 2309606 and 4619212
No.
Its nearest Fibonacci number neighbors are 3524578 and 5702887.