166763606689 has 9 divisors (see below), whose sum is σ = 176010776883. Its totient is φ = 157979224152.

The previous prime is 166763606687. The next prime is 166763606701. The reversal of 166763606689 is 986606367661.

The square root of 166763606689 is 408367.

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

166763606689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14579355025 + 152184251664 = 120745^2 + 390108^2 .

It is not a de Polignac number, because 166763606689 - 2¹ = 166763606687 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 166763606689.

It is not an unprimeable number, because it can be changed into a prime (166763606687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7748227 + ... + 7769719.

It is an arithmetic number, because the mean of its divisors is an integer number (19556752987).

Almost surely, 2^166763606689 is an apocalyptic number.

166763606689 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

166763606689 is the 408367-th square number.

166763606689 is the 204184-th centered octagonal number.

It is an amenable number.

166763606689 is a deficient number, since it is larger than the sum of its proper divisors (9247170194).

166763606689 is an frugal number, since it uses more digits than its factorization.

166763606689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43024 (or 21512 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 64.

Multiplying 166763606689 by its sum of digits (64), we get a square (10672870828096 = 3266936²).

The spelling of 166763606689 in words is "one hundred sixty-six billion, seven hundred sixty-three million, six hundred six thousand, six hundred eighty-nine".