10066044326209 has 9 divisors (see below), whose sum is σ = 10317679063779. Its totient is φ = 9820404141840.

The previous prime is 10066044326189. The next prime is 10066044326213. The reversal of 10066044326209 is 90262344066001.

It is a happy number.

The square root of 10066044326209 is 3172703.

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

It can be written as a sum of positive squares in only one way, i.e., 485038423809 + 9581005902400 = 696447^2 + 3095320^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10066044326209 is a prime.

It is a super-4 number, since 4×10066044326209⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10066044326249) 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, 130042132 + ... + 130119514.

Almost surely, 2^{10066044326209} is an apocalyptic number.

10066044326209 is the 3172703-rd square number.

10066044326209 is the 1586352-nd centered octagonal number.

It is an amenable number.

10066044326209 is a deficient number, since it is larger than the sum of its proper divisors (251634737570).

10066044326209 is an frugal number, since it uses more digits than its factorization.

10066044326209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154848 (or 77424 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 10066044326209 in words is "ten trillion, sixty-six billion, forty-four million, three hundred twenty-six thousand, two hundred nine".