  The nuclear reaction network is usually studied via precise calculation of
differential equation sets, and much research interest has been focused on the
characteristics of nuclides, such as half-life and size limit. In this paper,
however, we adopt the methods from both multilayer and reaction networks, and
obtain a distinctive view by mapping all the nuclear reactions in JINA REACLIB
database into a directed network with 4 layers: neutron, proton, $^4$He and the
remainder. The layer names correspond to reaction types decided by the currency
particles consumed. This combined approach reveals that, in the remainder
layer, the $\beta$-stability has high correlation with node degree difference
and overlapping coefficient. Moreover, when reaction rates are considered as
node strength, we find that, at lower temperatures, nuclide half-life scales
reciprocally with its out-strength. The connection between physical properties
and topological characteristics may help to explore the boundary of the nuclide
chart.
