166948282512 has 270 divisors, whose sum is σ = 531925802226. Its totient is φ = 48841605120.

The previous prime is 166948282493. The next prime is 166948282573. The reversal of 166948282512 is 215282849661.

166948282512 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 48 + 2 + 82 + 512 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 44772867216 + 122175415296 = 211596^2 + 349536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 14647888 + ... + 14659280.

Almost surely, 2^166948282512 is an apocalyptic number.

166948282512 is a gapful number since it is divisible by the number (12) 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 166948282512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265962901113).

166948282512 is an abundant number, since it is smaller than the sum of its proper divisors (364977519714).

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

166948282512 is a wasteful number, since it uses less digits than its factorization.

166948282512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11487 (or 11438 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 166948282512 in words is "one hundred sixty-six billion, nine hundred forty-eight million, two hundred eighty-two thousand, five hundred twelve".