We’re all living in Amerika. Coca cola. Wonder-bra.
I read the question and my brain also immediately went to - “Oh, they just listened to Rammstein”.
Most people use “Amerika” for “the USA”. If one talks about “the Americas” we use “Südamerika” (south) and “Nordamerika” (north).
It’s most commonly used to refer to the USA.
Depends on the context. If it is written/talked about in a geographic context, it will usually mean “the Americas”. If it’s in a political context, it will mean “the USA”.
Keep on mind that reputable news outlets won’t use “Amerika” when referring to the US however, they will use “Vereinigte Staaten” (United States). “Amerika” as a term for the US is very much a colloquial thing.
I would not use „Amerika“ if I would refer to the US. I usually mean the geographical combination of North and South America if I would use the term.
If I want to reference the US, I would use „die USA“, „die Vereinigten Staaten“ or in short just „die Staaten“.