166747416160 has 96 divisors (see below), whose sum is σ = 424361246400. Its totient is φ = 61551249408.

The previous prime is 166747416133. The next prime is 166747416221. The reversal of 166747416160 is 61614747661.

166747416160 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 9453109 + ... + 9470731.

It is an arithmetic number, because the mean of its divisors is an integer number (4420429650).

Almost surely, 2^166747416160 is an apocalyptic number.

166747416160 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 166747416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212180623200).

166747416160 is an abundant number, since it is smaller than the sum of its proper divisors (257613830240).

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

166747416160 is a wasteful number, since it uses less digits than its factorization.

166747416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22200 (or 22192 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 166747416160 in words is "one hundred sixty-six billion, seven hundred forty-seven million, four hundred sixteen thousand, one hundred sixty".