"How long a chain of overlapping movie titles, like "Live and Let Die Another Day of the Dead Poet's Society", can you find?"

Use the following listing of movie titles: MOVIES.LST. Multi-word overlaps, as in "License to Kill a Mockingbird," are allowed. The same title may not be used more than once in a solution. Heuristic solutions that may not always produce the greatest number of titles will be accepted: seek a reasonable tradeoff of efficiency and optimality.
 

Data provided by MovieLens at the University of Minnesota.

 "If the integers from 1 to 999,999,999 are written as words, sorted alphabetically, and concatenated, what is the 51 billionth letter?" 

To be precise: if the integers from 1 to 999,999,999 are expressed in words (omitting spaces, 'and', and punctuation[1]), and sorted alphabetically so that the first six integers are

• eight
• eighteen
• eighteenmillion
• eighteenmillioneight
• eighteenmillioneighteen
• eighteenmillioneighteenthousand

and the last is

• twothousandtwohundredtwo

then reading top to bottom, left to right, the 28th letter completes the spelling of the integer "eighteenmillion".

 

The 51 billionth letter also completes the spelling of an integer. Which one, and what is the sum of all the integers to that point?

[1] For example, 911,610,034 is written "ninehundredelevenmillionsixhundredtenthousandthirtyfour"; 500,000,000 is written "fivehundredmillion"; 1,709 is written "onethousandsevenhundrednine".