166725648768 has 256 divisors, whose sum is σ = 540142387200. Its totient is φ = 44479217664.

The previous prime is 166725648709. The next prime is 166725648769. The reversal of 166725648768 is 867846527661.

It is a super-2 number, since 2×166725648768² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166725648699 and 166725648708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166725648769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5789028 + ... + 5817756.

It is an arithmetic number, because the mean of its divisors is an integer number (2109931200).

Almost surely, 2^166725648768 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 166725648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270071193600).

166725648768 is an abundant number, since it is smaller than the sum of its proper divisors (373416738432).

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

166725648768 is a wasteful number, since it uses less digits than its factorization.

166725648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28897 (or 28885 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 66.

The spelling of 166725648768 in words is "one hundred sixty-six billion, seven hundred twenty-five million, six hundred forty-eight thousand, seven hundred sixty-eight".