166148209296 has 120 divisors (see below), whose sum is σ = 480618702720. Its totient is φ = 53551353600.

The previous prime is 166148209259. The next prime is 166148209327. The reversal of 166148209296 is 692902841661.

166148209296 is a `hidden beast` number, since 1 + 6 + 6 + 148 + 209 + 296 = 666.

166148209296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 357961 + ... + 678551.

It is an arithmetic number, because the mean of its divisors is an integer number (4005155856).

Almost surely, 2^166148209296 is an apocalyptic number.

166148209296 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 166148209296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240309351360).

166148209296 is an abundant number, since it is smaller than the sum of its proper divisors (314470493424).

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

166148209296 is a wasteful number, since it uses less digits than its factorization.

166148209296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320725 (or 320716 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 166148209296 in words is "one hundred sixty-six billion, one hundred forty-eight million, two hundred nine thousand, two hundred ninety-six".