  The $n$-partite information (nI) is formulated as a measure of multi-partite
entanglement. Field theory computation revealed that the sign of nI is
indefinite for $n\geq 3$, while holographic studies conjectured a sign property
that holographic nI is non-negative/non-positive for even/odd $n$, with
tripartite information (TI, $n=3$) proved. We investigate the aspects of nI
with holographic duality in hyperscaling violating geometry. We confirm the
conjectured sign property for strips of equal length with equal separation
distance, and disprove this conjecture for $n>3$ with general configurations.
Therefore, nI in field theories and holography exhibits compatibility except
for $n=3$. We also discuss other properties of holographic nI with analytic
computation: the monotonicity, linearity, relation to hyperscaling violating
parameters, temperature and UV cutoff effects, and the physical implications.
It is doubtful that nI is an effective measure of entanglement considering the
indefinite sign, non-monotonicity, and quasi-linearity of its holographic dual.
In this respect, we propose constraints on the multi-partite entanglement
measures.
