166321336896 has 672 divisors, whose sum is σ = 589529041920. Its totient is φ = 44137267200.

The previous prime is 166321336823. The next prime is 166321336897. The reversal of 166321336896 is 698633123661.

166321336896 is a `hidden beast` number, since 1 + 6 + 63 + 213 + 368 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (166321336897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135330010 + ... + 135331238.

It is an arithmetic number, because the mean of its divisors is an integer number (877275360).

Almost surely, 2^166321336896 is an apocalyptic number.

166321336896 is a gapful number since it is divisible by the number (16) 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 166321336896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294764520960).

166321336896 is an abundant number, since it is smaller than the sum of its proper divisors (423207705024).

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

166321336896 is a wasteful number, since it uses less digits than its factorization.

166321336896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1342 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 166321336896 in words is "one hundred sixty-six billion, three hundred twenty-one million, three hundred thirty-six thousand, eight hundred ninety-six".