166345014163776 has 168 divisors, whose sum is σ = 512015871470400. Its totient is φ = 47523603714048.

The previous prime is 166345014163733. The next prime is 166345014163789. The reversal of 166345014163776 is 677361410543661.

It is a happy number.

166345014163776 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 (168).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

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, 126854325 + ... + 128158923.

Almost surely, 2^{166345014163776} is an apocalyptic number.

166345014163776 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 166345014163776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256007935735200).

166345014163776 is an abundant number, since it is smaller than the sum of its proper divisors (345670857306624).

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

166345014163776 is a wasteful number, since it uses less digits than its factorization.

166345014163776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318181 (or 1318164 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 166345014163776 in words is "one hundred sixty-six trillion, three hundred forty-five billion, fourteen million, one hundred sixty-three thousand, seven hundred seventy-six".