166289813424 has 480 divisors, whose sum is σ = 567803658240. Its totient is φ = 44409226752.

The previous prime is 166289813419. The next prime is 166289813477. The reversal of 166289813424 is 424318982661.

166289813424 is a `hidden beast` number, since 1 + 6 + 62 + 89 + 81 + 3 + 424 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198199597 + ... + 198200435.

It is an arithmetic number, because the mean of its divisors is an integer number (1182924288).

Almost surely, 2^166289813424 is an apocalyptic number.

166289813424 is a gapful number since it is divisible by the number (14) 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 166289813424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283901829120).

166289813424 is an abundant number, since it is smaller than the sum of its proper divisors (401513844816).

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

166289813424 is a wasteful number, since it uses less digits than its factorization.

166289813424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1060 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 166289813424 in words is "one hundred sixty-six billion, two hundred eighty-nine million, eight hundred thirteen thousand, four hundred twenty-four".