166833338661 has 128 divisors (see below), whose sum is σ = 284751936000. Its totient is φ = 95613696000.

The previous prime is 166833338647. The next prime is 166833338687.

It is a happy number.

166833338661 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 166833338661 - 2⁵ = 166833338629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 166833338598 and 166833338607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166833338611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 157241071 + ... + 157242131.

It is an arithmetic number, because the mean of its divisors is an integer number (2224624500).

Almost surely, 2^166833338661 is an apocalyptic number.

166833338661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

166833338661 is a deficient number, since it is larger than the sum of its proper divisors (117918597339).

166833338661 is a wasteful number, since it uses less digits than its factorization.

166833338661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1502 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 166833338661 in words is "one hundred sixty-six billion, eight hundred thirty-three million, three hundred thirty-eight thousand, six hundred sixty-one".