Types of numbers.
Is there a comprehensive list of real-number-describers that allude to the properties of that number?
For example:
Amicable numbers, Abundant, Deficient, Perfect, Carmichael, prime, transcendental, etc.
1\. If so, where can I find it?
2\. What are some new, exciting types of numbers with interesting properties?
3\. What is _name_ of the _type_ of irrational number that contains every natural number as a substring of its decimal expansion ?