I'm reviving this question, and making it more specific: Is there a .NET framework library that supports numbers with arbitrary digits of precision?
You could try the old method of mantissa. Basically you could have an 64 bit integer for storing the number and then a 64 bit integer for storing the exponent (which could be negative). You could build your own object type and overload the arithmetic operators, so it will be treated as a single number. It will require some work, but I think it will be your best option.
Check this link http://jsfromhell.com/classes/bignumber
its a javascript code but you can easily convert it to your own in any language or in C#.
Here is a good article on how to represent infinite digits.
good luck
Perhaps surprisingly, the Bailey-Borwein-Plouffe formula gives an incremental procedure for computing the next binary or hexadecimal digit of pi without needing to store all the previous digits.
Can you wait for .NET 4.0? They're bringing BigInteger directly into the Framework.
On the other hand, if you can't wait, then the J# runtime includes built-in support for java.math.BigInteger and BigDecimal. This is redistributable just like the rest of the .NET Framework.
GnuMpDotNet: http://www.emilstefanov.net/Projects/GnuMpDotNet/
If you need pure .NET consider looking into this: http://www.codeplex.com/IntX/
There are a few options here.
A good option is W3b.Sine, which is native C#/.NET, and supports arbitrary precision floating point values.
If you are only dealing with integer values, IntX provides support for arbitrary precision integer values. A potentially more mature option would be C# BigInt, but again, this will not support floating point operations.