166068815328 has 360 divisors, whose sum is σ = 530817664608. Its totient is φ = 50909534208.

The previous prime is 166068815323. The next prime is 166068815347. The reversal of 166068815328 is 823518860661.

166068815328 is a `hidden beast` number, since 1 + 6 + 606 + 8 + 8 + 1 + 5 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166068815323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 160763100 + ... + 160764132.

Almost surely, 2^166068815328 is an apocalyptic number.

166068815328 is a gapful number since it is divisible by the number (18) 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 166068815328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265408832304).

166068815328 is an abundant number, since it is smaller than the sum of its proper divisors (364748849280).

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

166068815328 is a wasteful number, since it uses less digits than its factorization.

166068815328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 166068815328 in words is "one hundred sixty-six billion, sixty-eight million, eight hundred fifteen thousand, three hundred twenty-eight".