166683354768 has 160 divisors (see below), whose sum is σ = 551631955200. Its totient is φ = 47202269184.

The previous prime is 166683354743. The next prime is 166683354769. The reversal of 166683354768 is 867453386661.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (166683354769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97818 + ... + 585606.

It is an arithmetic number, because the mean of its divisors is an integer number (3447699720).

Almost surely, 2^166683354768 is an apocalyptic number.

166683354768 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 166683354768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275815977600).

166683354768 is an abundant number, since it is smaller than the sum of its proper divisors (384948600432).

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

166683354768 is a wasteful number, since it uses less digits than its factorization.

166683354768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487926 (or 487914 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 166683354768 in words is "one hundred sixty-six billion, six hundred eighty-three million, three hundred fifty-four thousand, seven hundred sixty-eight".