+1 with regards to it being reef safe
and it would be better not to move it, if possible. It's a gorgeous sponge, treasure it!
From the looks of it, it may be what researchers are calling the "Picasso sponge" due to it's odd but beautiful shape. It's actually an unknown variety, according to the Monterey Bay Aquarium Research Institute. Check out this link: http://www.mbari.org/news/news_relea...ges-hires.html
Though a bit outdated, this was the only website I could find. I guess marine biologists put sponge research pretty low on the priority list >.<