  Considering the strong field approximation we compute the hard thermal loop
pressure at finite temperature and chemical potential of hot and dense
deconfined QCD matter in lowest Landau level in one-loop order. We consider the
anisotropic pressure in the presence of the strong magnetic field i.e.,
longitudinal and transverse pressure along parallel and perpendicular to the
magnetic field direction. As a first effort, we compute and discuss the
anisotropic quark number susceptibility of deconfined QCD matter in lowest
Landau level. The longitudinal quark number susceptibility is found to increase
with the temperature whereas the transverse one decreases with the temperature.
We also compute the quark number susceptibility in the weak field
approximation. We find that the thermomagnetic correction to the quark number
susceptibility is very marginal in the weak field approximation.
