181365338880 has 432 divisors, whose sum is σ = 688591272096. Its totient is φ = 43707924480.

The previous prime is 181365338873. The next prime is 181365338909. The reversal of 181365338880 is 88833563181.

181365338880 is a `hidden beast` number, since 1 + 8 + 136 + 53 + 388 + 80 = 666.

181365338880 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 2×181365338880² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 21918424 + ... + 21926696.

It is an arithmetic number, because the mean of its divisors is an integer number (1593961278).

Almost surely, 2^181365338880 is an apocalyptic number.

181365338880 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 181365338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344295636048).

181365338880 is an abundant number, since it is smaller than the sum of its proper divisors (507225933216).

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

181365338880 is a wasteful number, since it uses less digits than its factorization.

181365338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8484 (or 8467 counting only the distinct ones).

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

The spelling of 181365338880 in words is "one hundred eighty-one billion, three hundred sixty-five million, three hundred thirty-eight thousand, eight hundred eighty".