166824428661 has 16 divisors (see below), whose sum is σ = 269615238720. Its totient is φ = 101105714160.

The previous prime is 166824428657. The next prime is 166824428681.

166824428661 is a `hidden beast` number, since 1 + 6 + 68 + 2 + 442 + 86 + 61 = 666.

166824428661 is nontrivially palindromic in base 10.

166824428661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 166824428661 - 2² = 166824428657 is a prime.

It is a super-3 number, since 3×166824428661³ (a number of 35 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 166824428598 and 166824428607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166824428681) 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 15 ways as a sum of consecutive naturals, for example, 280848910 + ... + 280849503.

It is an arithmetic number, because the mean of its divisors is an integer number (16850952420).

Almost surely, 2^166824428661 is an apocalyptic number.

166824428661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

166824428661 is a deficient number, since it is larger than the sum of its proper divisors (102790810059).

166824428661 is a wasteful number, since it uses less digits than its factorization.

166824428661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561698433 (or 561698427 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 166824428661 in words is "one hundred sixty-six billion, eight hundred twenty-four million, four hundred twenty-eight thousand, six hundred sixty-one".