The nuclear magnetic dipole moment mu and electric quadrupole moment Q of the beta -emitting N-16(I-pi = 2(-), T-1/2 = 7.13 s) nucleus have been determined for the first time by detecting its beta -NMR in a MgO crystal and beta -NQR (nuclear quadrupole resonance) in a TiO2 crystal to be \mu\ = (1.9859 +/- 0.0011)mu (N) and \Q\ = (17.9 +/- 1.7) mb, respectively. Although the prediction of mu given by the Hartree-Fock calculation agrees well with the experiment, an abnormally small effective charge for neutrons is required to account for the experimental Q.