166982406291008 has 112 divisors (see below), whose sum is σ = 413220889584000. Its totient is φ = 65042004910080.

The previous prime is 166982406291007. The next prime is 166982406291017. The reversal of 166982406291008 is 800192604289661.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (166982406291007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15769178 + ... + 24137766.

Almost surely, 2^{166982406291008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166982406291008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206610444792000).

166982406291008 is an abundant number, since it is smaller than the sum of its proper divisors (246238483292992).

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

166982406291008 is a wasteful number, since it uses less digits than its factorization.

166982406291008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8372668 (or 8372658 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 62.

The spelling of 166982406291008 in words is "one hundred sixty-six trillion, nine hundred eighty-two billion, four hundred six million, two hundred ninety-one thousand, eight".