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We use optical and near-infrared spectroscopy to observe rest-UV emissionlines and estimate the black hole mass of WISEA J224607.56-052634.9(W2246-0526) at z = 4.601, the most luminous hot dust-obscured galaxy yetdiscovered by WISE. From the broad component of the MgII-2799A emission line,we measure a black hole mass of log (M_BH/M_sun) = 9.6 +- 0.4. The broadCIV-1549A line is asymmetric and significantly blue-shifted. The derived M_BHfrom the blueshift-corrected broad CIV line width agrees with the MgII result.From direct measurement using a well-sampled SED, the bolometric luminosity is3.6 * 10^14 L_sun. The corresponding Eddington ratio for W2246-0526 islambda_Edd = L_AGN / L_Edd = 2.8. This high Eddington ratio may reach the levelwhere the luminosity is saturating due to photon trapping in the accretionflow, and be insensitive to the mass accretion rate. In this case, the M_BHgrowth rate in W2246-0526 would exceed the apparent accretion rate derived fromthe observed luminosity.

Super-Eddington Accretion in the WISE-Selected Extremely Luminous Infrared Galaxy W2246-0526