166632649924288 has 224 divisors, whose sum is σ = 351400391147520. Its totient is φ = 78305197716480.

The previous prime is 166632649924253. The next prime is 166632649924337. The reversal of 166632649924288 is 882429946236661.

166632649924288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166632649924288² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3296823945 + ... + 3296874487.

Almost surely, 2^{166632649924288} 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 166632649924288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175700195573760).

166632649924288 is an abundant number, since it is smaller than the sum of its proper divisors (184767741223232).

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

166632649924288 is a wasteful number, since it uses less digits than its factorization.

166632649924288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51075 (or 51065 counting only the distinct ones).

The product of its digits is 2579890176, while the sum is 76.

The spelling of 166632649924288 in words is "one hundred sixty-six trillion, six hundred thirty-two billion, six hundred forty-nine million, nine hundred twenty-four thousand, two hundred eighty-eight".