In this work, we present the mass spectrum of higher charmonia around and above 4.6 GeV by adopting the unquenched potential model. We perform a combined fit to the updated experimental data of e + e − → ψ(2S )π + π − and e + e − → Λ cΛc . To understand the "platform" structure observed in the range of 4.57 ∼ 4.60 GeV existing in the Λ cΛc invariant mass spectrum of e + e − → Λ cΛc of BESIII, we introduce two resonances in this combined fit to the e + e − → ψ(2S )π + π − and e + e − → Λ cΛc , which have resonance parameters, m Y 1 = 4585 ± 2 MeV, Γ Y 1 = 29.8 ± 8.0 MeV, m Y 2 = 4676 ± 7 MeV, and Γ Y 2 = 85.7 ± 15.0 MeV. Furthermore, combining with our theoretical results, we indicate that the two charmonium-like Y states can be due to two higher charmonia, which are mixtures of 6S and 5D cc states. Their two-body open-charm decay behaviors are given. Under the same framework, our analysis of the data of e + e − → D + s D s1 (2536) − recently released by Belle supports to introduce these two higher charmonia around 4.6 GeV. Additionally, we predict the masses and two-body open-charm decays of six higher charmonia ψ(nS ) and ψ(mD) with n = 7, 8, 9 and m = 6, 7, 8 above 4.6 GeV. Search for these higher charmonia will be an interesting issue for the running BESIII and BelleII, and even the possible Super Tau-Charm Factory discussed in China.