166505596608 has 224 divisors, whose sum is σ = 483986506752. Its totient is φ = 50209689600.

The previous prime is 166505596591. The next prime is 166505596619. The reversal of 166505596608 is 806695505661.

It is a happy number.

166505596608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166505596608² (a number of 23 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, 30655653 + ... + 30661083.

It is an arithmetic number, because the mean of its divisors is an integer number (2160654048).

Almost surely, 2^166505596608 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 166505596608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241993253376).

166505596608 is an abundant number, since it is smaller than the sum of its proper divisors (317480910144).

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

166505596608 is a wasteful number, since it uses less digits than its factorization.

166505596608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5703 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 57.

The spelling of 166505596608 in words is "one hundred sixty-six billion, five hundred five million, five hundred ninety-six thousand, six hundred eight".