Andrew Booker's Nth prime page is excellent... but it can't handle your example number.
I have custom code that can calculate values up to about 2^64, but your number is larger than that.
Thanks to Dusart , we can say that its rank is somewhere between 24244547260299402427 and 24247918127257270377.
If the Riemann Hypothesis is true, then we know by Schoenfeld  that its rank is somewhere between 24245911027060346607 and 24245911157987206331.
 Pierre Dusart, 'Estimates of Some Functions Over Primes without R.H.', preprint (2010), arXiv:1002.0442
 Lowell Schoenfeld, 'Sharper Bounds for the Chebyshev Functions theta(x) and psi(x). II'. Mathematics of Computation, Vol 30, No 134 (Apr 1976), pp. 337-360.