166844198430 has 384 divisors, whose sum is σ = 544832870400. Its totient is φ = 34485875712.

The previous prime is 166844198359. The next prime is 166844198449. The reversal of 166844198430 is 34891448661.

166844198430 is a `hidden beast` number, since 1 + 6 + 6 + 84 + 41 + 98 + 430 = 666.

166844198430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×166844198430³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 235322916 + ... + 235323624.

It is an arithmetic number, because the mean of its divisors is an integer number (1418835600).

Almost surely, 2^166844198430 is an apocalyptic number.

166844198430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166844198430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272416435200).

166844198430 is an abundant number, since it is smaller than the sum of its proper divisors (377988671970).

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

166844198430 is a wasteful number, since it uses less digits than its factorization.

166844198430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1285 counting only the distinct ones).

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

The spelling of 166844198430 in words is "one hundred sixty-six billion, eight hundred forty-four million, one hundred ninety-eight thousand, four hundred thirty".