$MaxNumber

$MaxNumber
gives the maximum arbitrary-precision number that can be represented on a particular computer system.

$MaxNumber is an approximation given to $MachinePrecision and does not include all bits of the maximum representable number.

The maximum number representable on this computer system:

Larger numbers yield overflows:

The maximum number representable on this computer system:

Out[1]=

Larger numbers yield overflows:

Out[1]=

$MaxNumber has the maximal possible exponent and all significant bits set to 1:

$MaxNumber×$MinNumber is approximately 1:

$MaxNumber is not a machine number:

It does have precision equivalent to that of machine numbers:

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