The solar electromagnetic luminosity is $3.83\times 10^{26}$ W and the neutrino luminosity is about 2.3% of this.
The solar luminosity referred to above does not include losses due to the solar wind, which are tiny and well inside the noise and variability (the solar luminosity varies at the 0.1% level during its magnetic activity cycle). Assuming a mass loss rate of $\sim 2\times 10^{-14} M_\odot$ per year moving with an average speed of $\sim 400$ km/s (typical values, which might vary by a factor of 2 and with solar latitude and cycle) implies a power output of just $\sim 10^{20}$ W.