166081434516 has 216 divisors, whose sum is σ = 457268122584. Its totient is φ = 50796195840.

The previous prime is 166081434509. The next prime is 166081434517. The reversal of 166081434516 is 615434180661.

166081434516 is a `hidden beast` number, since 1 + 6 + 608 + 1 + 4 + 34 + 5 + 1 + 6 = 666.

166081434516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2323625616 + 163757808900 = 48204^2 + 404670^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166081434517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95393406 + ... + 95395146.

It is an arithmetic number, because the mean of its divisors is an integer number (2116982049).

Almost surely, 2^166081434516 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 166081434516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228634061292).

166081434516 is an abundant number, since it is smaller than the sum of its proper divisors (291186688068).

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

166081434516 is a wasteful number, since it uses less digits than its factorization.

166081434516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 166081434516 in words is "one hundred sixty-six billion, eighty-one million, four hundred thirty-four thousand, five hundred sixteen".