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In this article, the viscoelastic nanofluid external flow using the model that considers the Brownian motion and thermophores is examined. A non-Newtonian liquid has variable properties, namely dynamic viscosity and thermal conductivity, and these depended on temperature distributions. Third order mathematical formulations include some important impacts such as Lorentz force, non-linear radiation, exponential heat generation, viscous dissipation, and Arrhenius activation energy. Also, the flow on the outer edge has slip conditions, variable nanoparticle distributions, and convective boundary conditions. The solution technique is based on reducing the fourth order derivatives of ODEs (Ordinary Differential Equations) and shooting method. From the major results, it is noted that the variable property case gives a higher rate of heat transfer compared to the constant case. The slip-velocity condition in the case of the viscoelastic nanofluids causes higher velocity features for the non-Newtonian suspension compared to the case of Newtonian nanofluids. Minimization of the viscoelastic parameter, viscosity parameter, and mixed convection parameter is the best to obtain the higher values of skin friction coefficient. [ABSTRACT FROM AUTHOR]