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While surfing, I came across this mathematical term: $$(1+9^{-4^{6*7}})^{3^{2^{85}}}$$ which approximately equals to the mathematical constant e (Euler's number) upto 18 trillion trillion digits.

What were the mathematical techniques used to approximate e upto 18 trillion trillion digits ?? What were the mathematical techniques used in finding the term $(1+9^{-4^{6*7}})^{3^{2^{85}}}$??

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    And uses all the non-zero digits once each in its formulation. Very flashy. – 2017-02-17
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    @Joffan Yeah, such numbers are known as **Pandigital numbers**. You can check more about them if you like. :') – 2017-02-17

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Hint:

$$\lim_{x \to \infty} (1+1/x)^x = e$$

Hint 2:

$$\frac{1}{9^{-4^{6*7}}} = 3^{2^{85}}$$

Also, watch this video by Numberphile on the topic

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    Appreciated., :') – 2017-02-17