Аннотация:We discuss physical parameters of late-type stars where the Kepler mission registered superflares. It is shown that most of these stars with flare energies E>5×10^34erg demonstrate a wide spread within a given spectral type and dispose somewhat aside from the main sequence. This reflects dependence of the flare activity on the stellar radius. The higher activity is typical for K stars. We analyse fundamental propeties of stars where the largest flares with the total energies E>10^35 erg occured. First, among these objects there are rotationally variable single stars where optical variability is associated with starspots. Their radii exceed those theoretical values that they have to possess if they were situated on the main sequence. Second, such big flares demonstrate F and G subgiants including pulsating variables. Besides, these stars are members of detached and semi-detached eclipsing binaries, Algol-type systems etc. Thus, we conclude that flares with E>10^35 erg are not registered on solar-type dwarf stars. This means that magnetic fields observed on these stars are able to provide the total flare energy not higher than (2–3)x10^34 erg. For explanation of the larger events, it is necessary to attract another regime of the dynamo theory. Note, that as a rule all solar-type stars with superflares rotate fast and are quite young objects.