166809088384512 has 1920 divisors, whose sum is σ = 597474844876800. Its totient is φ = 40951647830016.

The previous prime is 166809088384511. The next prime is 166809088384517. The reversal of 166809088384512 is 215483880908661.

It is a super-2 number, since 2×166809088384512² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166809088384511) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76553045439 + ... + 76553047617.

It is an arithmetic number, because the mean of its divisors is an integer number (311184815040).

Almost surely, 2^{166809088384512} is an apocalyptic number.

166809088384512 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 166809088384512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298737422438400).

166809088384512 is an abundant number, since it is smaller than the sum of its proper divisors (430665756492288).

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

166809088384512 is a wasteful number, since it uses less digits than its factorization.

166809088384512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 69.

The spelling of 166809088384512 in words is "one hundred sixty-six trillion, eight hundred nine billion, eighty-eight million, three hundred eighty-four thousand, five hundred twelve".