108817089360849 has 27 divisors (see below), whose sum is σ = 157762294086033. Its totient is φ = 72277073710272.

The previous prime is 108817089360743. The next prime is 108817089360853. The reversal of 108817089360849 is 948063980718801.

The square root of 108817089360849 is 10431543.

It is a perfect power (a square), and thus also a powerful number.

108817089360849 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 1 + 7 + 0 + 8 + 9 + 3 + 608 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14566000470849 + 94251088890000 = 3816543^2 + 9708300^2 .

It is not a de Polignac number, because 108817089360849 - 2²⁷ = 108816955143121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (108817089360149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8668605957 + ... + 8668618509.

Almost surely, 2^{108817089360849} is an apocalyptic number.

108817089360849 is the 10431543-rd square number.

108817089360849 is the 5215772-nd centered octagonal number.

It is an amenable number.

108817089360849 is a deficient number, since it is larger than the sum of its proper divisors (48945204725184).

108817089360849 is an frugal number, since it uses more digits than its factorization.

108817089360849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25666 (or 12833 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 108817089360849 in words is "one hundred eight trillion, eight hundred seventeen billion, eighty-nine million, three hundred sixty thousand, eight hundred forty-nine".