"Obviously" begins a statement that continues "the factorion of an n-digit number cannot exceed n<sup>.</sup> 9!" (the dot expresses "n
times 9!").
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One way to see what this is about is linguistic. "Obviously" is a way of
saying "I see ... and you could (if ...)". For most of the world the
second ... is interpreted as something like "you thought about it."
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Thinking is not easy. People prefer "seeing"; they dislike things they must think about (even when
they're fairly easy). 
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This "obviously"<I> is <u>very</u></I> easy: <i>
There are n integers. The biggest each
can be is 9. The factorion is the sum of the factorials of the digits.
The most we can get by adding up n factorials is n times 9!</i> Let's see what that
means numerically.
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9! is 9(8)7(6)5!
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5! = 5(4!) = 20(3)2 = 120
<br></br> 
9! = 72(42)120 = 362,880
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If a number has n-many digits, n times 362,880 must be examined (to find if this n-digit number is a sum of factorials of its
digits).