Could someone explain to me what the following words mean?

The first one I am not to sure about, the second invulnerability is the adjective of invulnerable which means that they cannot die. Just like immortal, it is usually in gaming and when used is only for a limited time. The third, is when when someone is waiting for something eagerly and this is usually used as a formal word for 'can't wait'. The final word is aculation, from aculate. When things gather and grow, so if you were to put money in a bank account the money would grow and aculate with interest so you can have more money. Toys aculate when the child/adult buys it for them.