There's an absolute limit on the loudest possible sound which the Earth's atmosphere can transmit undistorted. The negative-going pressure excursions can't be greater in magnitude than the ambient pressure; if they were, the absolute pressure in the negative peaks would be less than 0- that is, less than the pressure of a perfect vacuum.

Since atmospheric pressure at sea level is in the neighborhood of 101 kPa, and the 0 dB SPL reference level is 20 uPa, this limit works out to approximately 194 dB peak.

A few years ago I read a sidebar in one of the audio industry trade magazines that explained the peculiar "crackling" quality of the Saturn V's noise, when recorded at a distance sufficient that neither mic nor recording chain overload should have been a factor.

The explanation given was that the pressure difference between the positive and negative-going excursions was so great that the velocity of sound (which is affected by pressure) differed substantially between the two, and that the waveform distortion produced by this generated the high-frequency components which produced the "crackling" sound.

Whether or not this is correct, you could reasonably describe the noise of a Saturn V as "so loud that the concept of 'sound' doesn't really apply any more".