128764590418993 has 2 divisors, whose sum is σ = 128764590418994. Its totient is φ = 128764590418992.

The previous prime is 128764590418969. The next prime is 128764590419009. The reversal of 128764590418993 is 399814095467821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124558612899889 + 4205977519104 = 11160583^2 + 2050848^2 .

It is an emirp because it is prime and its reverse (399814095467821) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-128764590418993 is a prime.

It is not a weakly prime, because it can be changed into another prime (128764590428993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64382295209496 + 64382295209497.

It is an arithmetic number, because the mean of its divisors is an integer number (64382295209497).

It is a 1-persistent number, because it is pandigital, but 2⋅128764590418993 = 257529180837986 is not.

Almost surely, 2^{128764590418993} is an apocalyptic number.

It is an amenable number.

128764590418993 is a deficient number, since it is larger than the sum of its proper divisors (1).

128764590418993 is an equidigital number, since it uses as much as digits as its factorization.

128764590418993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 940584960, while the sum is 76.

The spelling of 128764590418993 in words is "one hundred twenty-eight trillion, seven hundred sixty-four billion, five hundred ninety million, four hundred eighteen thousand, nine hundred ninety-three".