According to the help page: Area Solar Radiation (Spatial Analyst) the tool has a parameter to write each output. I highly recommend giving this a try. It could take years to process, depending on the size of your DEM, and the options you choose. Since you are new to Pro, I should mention the raster should be projected (not geographic coordinates). The help page mentions this too. RTFM (Read The F[ine] Manual!) 🙂
The Create outputs for each interval parameter affects the format and number of output radiation files. When checked, the output raster will contain multiple bands that correspond to the radiation or duration values for each time interval (hour interval when time configuration is less than one day, or day interval when multiple days)..
(UPDATE - I copied the wrong part of the help)
Looks like you would need to run model builder or Python to iterate every day - though it probably would take years to run every day every hours.
I suggest attempting running it for one hour of one day with your DEM and see how long it takes and go from there.