1000166006889 has 27 divisors (see below), whose sum is σ = 1680586334973. Its totient is φ = 571511431512.

The previous prime is 1000166006759. The next prime is 1000166006923. The reversal of 1000166006889 is 9886006610001.

It is a happy number.

The square root of 1000166006889 is 1000083.

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

It is not a de Polignac number, because 1000166006889 - 2⁹ = 1000166006377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000166004889) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20977932 + ... + 21025554.

Almost surely, 2^{1000166006889} is an apocalyptic number.

1000166006889 is the 1000083-rd square number.

1000166006889 is the 500042-nd centered octagonal number.

It is an amenable number.

1000166006889 is a deficient number, since it is larger than the sum of its proper divisors (680420328084).

1000166006889 is an frugal number, since it uses more digits than its factorization.

1000166006889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95266 (or 47633 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1000166006889 in words is "one trillion, one hundred sixty-six million, six thousand, eight hundred eighty-nine".