166432162542016 has 112 divisors (see below), whose sum is σ = 381168365992960. Its totient is φ = 70624538357760.

The previous prime is 166432162542013. The next prime is 166432162542029. The reversal of 166432162542016 is 610245261234661.

166432162542016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166432162542013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298781005 + ... + 299337523.

It is an arithmetic number, because the mean of its divisors is an integer number (3403288982080).

Almost surely, 2^{166432162542016} is an apocalyptic number.

166432162542016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166432162542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190584182996480).

166432162542016 is an abundant number, since it is smaller than the sum of its proper divisors (214736203450944).

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

166432162542016 is a wasteful number, since it uses less digits than its factorization.

166432162542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563122 (or 563112 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 166432162542016 in words is "one hundred sixty-six trillion, four hundred thirty-two billion, one hundred sixty-two million, five hundred forty-two thousand, sixteen".