Related: how many protons per second can the LHC accelerate?
This answer from another question says:
Additionally, the comment below says that there can be up to 2808 bunches in the ring at a given time. Note also that the per proton energy should be 7 TeV/proton, not 14 TeV.
The circumference of the LHC is 27 km. Dividing by the speed of light, you find that the particles take 90 μs to complete a trip around the ring. Combining this with the numbers given in the linked answer, we can answer your questions:
The total kinetic energy per second (i.e. power) passing through a given slice of the beamline at full capacity is:
2808 * 125000 Joules / 90 μs $\approx$ 4 Terawatts
The rate of protons passing a given point is:
2808 * 60 billion protons / 90 μs $\approx$ 10^18 protons/second
However, this isn't really "many protons per second can the LHC accelerate", since the LHC operates in cycles of filling up with protons, accelerating, and dumping/colliding.