166442101233408 has 6912 divisors, whose sum is σ = 749006630400000. Its totient is φ = 36502221127680.

The previous prime is 166442101233377. The next prime is 166442101233413. The reversal of 166442101233408 is 804332101244661.

166442101233408 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 4 + 2 + 1 + 0 + 1 + 233 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 5739382801138 + ... + 5739382801166.

Almost surely, 2^{166442101233408} is an apocalyptic number.

166442101233408 is a gapful number since it is divisible by the number (18) 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 166442101233408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374503315200000).

166442101233408 is an abundant number, since it is smaller than the sum of its proper divisors (582564529166592).

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

166442101233408 is an equidigital number, since it uses as much as digits as its factorization.

166442101233408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 166442101233408 in words is "one hundred sixty-six trillion, four hundred forty-two billion, one hundred one million, two hundred thirty-three thousand, four hundred eight".