10814821365817 has 16 divisors (see below), whose sum is σ = 12370087425024. Its totient is φ = 9262129050000.

The previous prime is 10814821365763. The next prime is 10814821365851. The reversal of 10814821365817 is 71856312841801.

10814821365817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10814821365817 is a prime.

It is a super-2 number, since 2×10814821365817² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10814821365857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286914942 + ... + 286952632.

It is an arithmetic number, because the mean of its divisors is an integer number (773130464064).

Almost surely, 2^{10814821365817} is an apocalyptic number.

It is an amenable number.

10814821365817 is a deficient number, since it is larger than the sum of its proper divisors (1555266059207).

10814821365817 is a wasteful number, since it uses less digits than its factorization.

10814821365817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70740.

The product of its (nonzero) digits is 2580480, while the sum is 55.

The spelling of 10814821365817 in words is "ten trillion, eight hundred fourteen billion, eight hundred twenty-one million, three hundred sixty-five thousand, eight hundred seventeen".