Naked mole-rats do not develop neurodegenerative diseases associated with ageing and their brains are devoid of amyloid plaques. However, even the young naked mole-rat brain contains high concentrations of amyloid beta peptide. Thus, the question arises, how do naked mole-rat brain cell membranes survive in this amyloid rich environment? In this work we examine the composition, phase behaviour, and amyloid beta interactions of naked mole-rat brain lipids. Relative to mouse, naked mole-rat brain lipids are rich in cholesterol and contain less sphingomyelin, the sphingomyelin present being of a characteristic short chain length. We find that naked mole-rat brain lipid membranes exhibit an extremely high degree of phase separation, consistent with the membrane pacemaker hypothesis of ageing, with the liquid ordered phase occupying up to 80 % of the supported lipid bilayer. Exposure of mouse brain lipids to human amyloid beta at physiologically relevant concentrations leads to small, well-defined "footprints", whereby the amyloid beta has sunk into the membrane. Under the same exposure regime, the naked mole-rat brain lipid membranes are destroyed, leaving only membrane fragments in place of the intact membrane. These results suggest that naked mole-rats have likely developed additional neuroprotective mechanisms to limit cellular damage because by considering lipids alone brain tissue should not be able to survive in such a toxic environment.