166112856 has 224 divisors, whose sum is σ = 576579360. Its totient is φ = 43670016.

The previous prime is 166112851. The next prime is 166112857. The reversal of 166112856 is 658211661.

166112856 is a `hidden beast` number, since 16 + 611 + 28 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 166112856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166112851) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 530556 + ... + 530868.

It is an arithmetic number, because the mean of its divisors is an integer number (2574015).

Almost surely, 2^166112856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166112856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288289680).

166112856 is an abundant number, since it is smaller than the sum of its proper divisors (410466504).

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

166112856 is a wasteful number, since it uses less digits than its factorization.

166112856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 338 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 166112856 is about 12888.4776447802. The cubic root of 166112856 is about 549.7109842418.

The spelling of 166112856 in words is "one hundred sixty-six million, one hundred twelve thousand, eight hundred fifty-six".