10544872860369 has 9 divisors (see below), whose sum is σ = 15231497092123. Its totient is φ = 7029908745672.

The previous prime is 10544872860367. The next prime is 10544872860481. The reversal of 10544872860369 is 96306827844501.

The square root of 10544872860369 is 3247287.

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

10544872860369 is a `hidden beast` number, since 1 + 0 + 5 + 448 + 72 + 8 + 60 + 3 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 247320219969 + 10297552640400 = 497313^2 + 3208980^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10544872860369 - 2¹ = 10544872860367 is a prime.

It is a super-2 number, since 2×10544872860369² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10544872860367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9200647 + ... + 10283075.

It is a 1-persistent number, because it is pandigital, but 2⋅10544872860369 = 21089745720738 is not.

Almost surely, 2^{10544872860369} is an apocalyptic number.

10544872860369 is the 3247287-th square number.

10544872860369 is the 1623644-th centered octagonal number.

It is an amenable number.

10544872860369 is a deficient number, since it is larger than the sum of its proper divisors (4686624231754).

10544872860369 is an frugal number, since it uses more digits than its factorization.

10544872860369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164864 (or 1082432 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 10544872860369 in words is "ten trillion, five hundred forty-four billion, eight hundred seventy-two million, eight hundred sixty thousand, three hundred sixty-nine".