181922208168960 has 1056 divisors, whose sum is σ = 764041846568832. Its totient is φ = 39071640453120.

The previous prime is 181922208168941. The next prime is 181922208168973. The reversal of 181922208168960 is 69861802229181.

181922208168960 is a `hidden beast` number, since 1 + 8 + 192 + 220 + 8 + 168 + 9 + 60 = 666.

181922208168960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3361370700 + ... + 3361424820.

Almost surely, 2^{181922208168960} is an apocalyptic number.

181922208168960 is a gapful number since it is divisible by the number (10) 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 181922208168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382020923284416).

181922208168960 is an abundant number, since it is smaller than the sum of its proper divisors (582119638399872).

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

181922208168960 is a wasteful number, since it uses less digits than its factorization.

181922208168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54789 (or 54768 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 181922208168960 in words is "one hundred eighty-one trillion, nine hundred twenty-two billion, two hundred eight million, one hundred sixty-eight thousand, nine hundred sixty".