166046803200 has 432 divisors, whose sum is σ = 610286564160. Its totient is φ = 44176711680.

The previous prime is 166046803183. The next prime is 166046803207. The reversal of 166046803200 is 2308640661.

166046803200 is a `hidden beast` number, since 16 + 604 + 6 + 8 + 0 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166046803207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101432782 + ... + 101434418.

It is an arithmetic number, because the mean of its divisors is an integer number (1412700380).

Almost surely, 2^166046803200 is an apocalyptic number.

166046803200 is a gapful number since it is divisible by the number (10) 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 166046803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305143282080).

166046803200 is an abundant number, since it is smaller than the sum of its proper divisors (444239760960).

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

166046803200 is a wasteful number, since it uses less digits than its factorization.

166046803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 166046803200 in words is "one hundred sixty-six billion, forty-six million, eight hundred three thousand, two hundred".