166006504664 has 512 divisors, whose sum is σ = 453338726400. Its totient is φ = 55324684800.

The previous prime is 166006504633. The next prime is 166006504669. The reversal of 166006504664 is 466405600661.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166006504669) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1307137769 + ... + 1307137895.

It is an arithmetic number, because the mean of its divisors is an integer number (885427200).

Almost surely, 2^166006504664 is an apocalyptic number.

166006504664 is a gapful number since it is divisible by the number (14) 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 166006504664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226669363200).

166006504664 is an abundant number, since it is smaller than the sum of its proper divisors (287332221736).

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

166006504664 is a wasteful number, since it uses less digits than its factorization.

166006504664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 166006504664 in words is "one hundred sixty-six billion, six million, five hundred four thousand, six hundred sixty-four".