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According to theory, cluster radioactivity becomes an important decay mode in superheavy nuclei. In this work, we predict that the strongly asymmetric fission, or cluster emission, is in fact the dominant fission channel for 294118Og176, which is currently the heaviest synthetic isotope known. Our theoretical approach incorporates important features of fission dynamics, including quantum tunneling and stochastic dynamics up to scission. We show that despite appreciable differences in static fission properties such as fission barriers and spontaneous fission lifetimes, the prediction of cluster radioactivity in 294118Og176 is robust with respect to the details of calculations, including the choice of energy density functional, collective inertia, and strength of the dissipation term. [ABSTRACT FROM AUTHOR]