166106557144 has 96 divisors (see below), whose sum is σ = 360626414400. Its totient is φ = 71475307200.

The previous prime is 166106557109. The next prime is 166106557157. The reversal of 166106557144 is 441755601661.

166106557144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 166106557094 and 166106557103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33305419 + ... + 33310405.

It is an arithmetic number, because the mean of its divisors is an integer number (3756525150).

Almost surely, 2^166106557144 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 166106557144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180313207200).

166106557144 is an abundant number, since it is smaller than the sum of its proper divisors (194519857256).

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

166106557144 is a wasteful number, since it uses less digits than its factorization.

166106557144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6845 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 166106557144 in words is "one hundred sixty-six billion, one hundred six million, five hundred fifty-seven thousand, one hundred forty-four".