166353444 has 18 divisors (see below), whose sum is σ = 420504630. Its totient is φ = 55451136.

The previous prime is 166353437. The next prime is 166353479. The reversal of 166353444 is 444353661.

166353444 is a `hidden beast` number, since 16 + 635 + 3 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107371044 + 58982400 = 10362^2 + 7680^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×166353444² = 55346936661322272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4620929 = 166353444 / (1 + 6 + 6 + 3 + 5 + 3 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 166353399 and 166353408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2310429 + ... + 2310500.

Almost surely, 2^166353444 is an apocalyptic number.

It is an amenable number.

166353444 is an abundant number, since it is smaller than the sum of its proper divisors (254151186).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166353444 is a wasteful number, since it uses less digits than its factorization.

166353444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620939 (or 4620934 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 166353444 is about 12897.8077206942. The cubic root of 166353444 is about 549.9762458060.

The spelling of 166353444 in words is "one hundred sixty-six million, three hundred fifty-three thousand, four hundred forty-four".