We examined the viscoelastic behavior of an aqueous hybrid threadlike micellar solution consisting of cetyltrimethylammonium bromide (CTAB) and random copolymers of styrene and sodium styrenesulfonate at the same molar concentration of total monomer units as CTAB. The micelles formed in such solutions are enormously long, flexible, stable structures that entangle so much as to exhibit profound viscoelastic behavior approximately described by the behavior of a Maxwell element with one set of relaxation time (tau) and strength (G(N)). The degree of sulfonation (X-S) of the incorporated polymers affected tau and G(N) values, and the concentration ([Br-]*) of excess bromide anions in the system markedly affected tau and G(N) values. Under conditions of constant [Br-]* and X-S, tau is approximately proportional to the molecular weight of incorporated polymers, and GN is proportional to the square of the polymer concentration in the system, as observed in ordinary entangled polymer systems.