166741490889600 has 768 divisors, whose sum is σ = 636543808588800. Its totient is φ = 37973466316800.

The previous prime is 166741490889577. The next prime is 166741490889607. The reversal of 166741490889600 is 6988094147661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166741490889607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112573017 + ... + 114044583.

It is an arithmetic number, because the mean of its divisors is an integer number (828833084100).

Almost surely, 2^{166741490889600} is an apocalyptic number.

166741490889600 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 166741490889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318271904294400).

166741490889600 is an abundant number, since it is smaller than the sum of its proper divisors (469802317699200).

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

166741490889600 is a wasteful number, since it uses less digits than its factorization.

166741490889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471671 (or 1471654 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 69.

The spelling of 166741490889600 in words is "one hundred sixty-six trillion, seven hundred forty-one billion, four hundred ninety million, eight hundred eighty-nine thousand, six hundred".