166849988688 has 120 divisors (see below), whose sum is σ = 492985708800. Its totient is φ = 52532831232.

The previous prime is 166849988687. The next prime is 166849988693. The reversal of 166849988688 is 886889948661.

166849988688 is a `hidden beast` number, since 1 + 6 + 68 + 499 + 8 + 8 + 68 + 8 = 666.

It is a super-2 number, since 2×166849988688² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166849988687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 831553 + ... + 1012511.

It is an arithmetic number, because the mean of its divisors is an integer number (4108214240).

Almost surely, 2^166849988688 is an apocalyptic number.

166849988688 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 166849988688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246492854400).

166849988688 is an abundant number, since it is smaller than the sum of its proper divisors (326135720112).

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

166849988688 is a wasteful number, since it uses less digits than its factorization.

166849988688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181329 (or 181320 counting only the distinct ones).

The product of its digits is 2293235712, while the sum is 81.

The spelling of 166849988688 in words is "one hundred sixty-six billion, eight hundred forty-nine million, nine hundred eighty-eight thousand, six hundred eighty-eight".