166864921056768 has 640 divisors, whose sum is σ = 520637031383040. Its totient is φ = 47008346112000.

The previous prime is 166864921056761. The next prime is 166864921056781. The reversal of 166864921056768 is 867650129468661.

166864921056768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 166864921056768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166864921056761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1530942753 + ... + 1531051743.

It is an arithmetic number, because the mean of its divisors is an integer number (813495361536).

Almost surely, 2^{166864921056768} 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 166864921056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260318515691520).

166864921056768 is an abundant number, since it is smaller than the sum of its proper divisors (353772110326272).

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

166864921056768 is a wasteful number, since it uses less digits than its factorization.

166864921056768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109170 (or 109154 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 75.

The spelling of 166864921056768 in words is "one hundred sixty-six trillion, eight hundred sixty-four billion, nine hundred twenty-one million, fifty-six thousand, seven hundred sixty-eight".