166531625032104 has 128 divisors (see below), whose sum is σ = 463707864547200. Its totient is φ = 55376247559680.

The previous prime is 166531625032027. The next prime is 166531625032151. The reversal of 166531625032104 is 401230526135661.

It is a happy number.

166531625032104 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 3 + 1 + 625 + 0 + 3 + 2 + 10 + 4 = 666.

166531625032104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 166531625032104.

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, 222512284 + ... + 223259444.

It is an arithmetic number, because the mean of its divisors is an integer number (3622717691775).

Almost surely, 2^{166531625032104} 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 166531625032104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231853932273600).

166531625032104 is an abundant number, since it is smaller than the sum of its proper divisors (297176239515096).

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

166531625032104 is a wasteful number, since it uses less digits than its factorization.

166531625032104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749672 (or 749662 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 166531625032104 in words is "one hundred sixty-six trillion, five hundred thirty-one billion, six hundred twenty-five million, thirty-two thousand, one hundred four".