37 × 113 × 797 × 54833
1, 37, 113, 797, 4181, 29489, 54833, 90061, 2028821, 3332257, 6196129, 43701901, 229256773, 1616970337, 4938314813 and 182717648081
No.
Its nearest Fibonacci number neighbors are 139583862445 and 225851433717.