Here is my other numbers coined by me.

Members: 352 (including the BGSN)

Eponymous numbers

Members: 1

1. Madom's Schmittyillion = H4182001#(10^100) using Aarex's H# -illion function:

   1. Ha = Ha#1

   2. Ha#0 = 1,000*a

   3. b > 0: Ha#b = H(1,000^a)#(b-1)

Old googolisms

Dynamic googolisms

Daygathor

Defined as "E100#^#^#^#D", where D is the current date, which changes depending on the current day. For example, Today is day 1, then the expression is equal to E100#^#^#^#1 = E100#^#^#100 (godgathor), today is day 2, then the expression is equal to E100#^#^#^#2 = E100#^#^##100 (gralgathor).

BGSN - The super salad number

See "Bewilderingly ginormous salad number".

Definition of Saibian's and Bowers' existing numbers

Members: 2

Bowers' -illions

I pointed out that Jonathan Bowers' "bentrizillion" has two different definitions, so I coined the respecting proper names for Bowers' "bentrizillion" with prefixes as follows:

• Lower bentrizillion = 10^(6*10^(6*10^(6*10^9))) = 10^(6*10^(6*10^6,000,000,000)) (using the short scale of "billion" = 10^9 = 1,000,000,000)

• Upper bentrizillion = 10^(6*10^(6*10^(6*10^12))) = 10^(6*10^(6*10^6,000,000,000,000)) (using the long scale of "billion" = 10^12 = 1,000,000,000,000)