166441347072 has 1536 divisors, whose sum is σ = 690381619200. Its totient is φ = 38220595200.

The previous prime is 166441347071. The next prime is 166441347097. The reversal of 166441347072 is 270743144661.

166441347072 is a `hidden beast` number, since 1 + 66 + 44 + 13 + 470 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (166441347071) 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 127 ways as a sum of consecutive naturals, for example, 1715890128 + ... + 1715890224.

It is an arithmetic number, because the mean of its divisors is an integer number (449467200).

Almost surely, 2^166441347072 is an apocalyptic number.

166441347072 is a gapful number since it is divisible by the number (12) 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 166441347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345190809600).

166441347072 is an abundant number, since it is smaller than the sum of its proper divisors (523940272128).

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

166441347072 is a wasteful number, since it uses less digits than its factorization.

166441347072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 166441347072 in words is "one hundred sixty-six billion, four hundred forty-one million, three hundred forty-seven thousand, seventy-two".