Surefire states that the Titan will run 13hours on a premium alkaline and 17hours on lithium.
No idea on high mode, but logic says it will run longer ehile regulated on the lithium, perhaps over an hour. Someobe did a runtime test on the included eneloop and it fell out of regulation after half an hour, IIRC
I use the included 750mAh eneloop on mine, but I may put a lithium as the light is purely a backup to my E1D.