10814821365857 has 2 divisors, whose sum is σ = 10814821365858. Its totient is φ = 10814821365856.

The previous prime is 10814821365853. The next prime is 10814821365893. The reversal of 10814821365857 is 75856312841801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9244007836816 + 1570813529041 = 3040396^2 + 1253321^2 .

It is a cyclic number.

It is not a de Polignac number, because 10814821365857 - 2² = 10814821365853 is a prime.

It is a super-3 number, since 3×10814821365857³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10814821365796 and 10814821365805.

It is not a weakly prime, because it can be changed into another prime (10814821365851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5407410682928 + 5407410682929.

It is an arithmetic number, because the mean of its divisors is an integer number (5407410682929).

Almost surely, 2^{10814821365857} is an apocalyptic number.

It is an amenable number.

10814821365857 is a deficient number, since it is larger than the sum of its proper divisors (1).

10814821365857 is an equidigital number, since it uses as much as digits as its factorization.

10814821365857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12902400, while the sum is 59.

The spelling of 10814821365857 in words is "ten trillion, eight hundred fourteen billion, eight hundred twenty-one million, three hundred sixty-five thousand, eight hundred fifty-seven".