180845335712160 has 576 divisors, whose sum is σ = 739612234932480. Its totient is φ = 39363968286720.

The previous prime is 180845335712159. The next prime is 180845335712161. The reversal of 180845335712160 is 61217533548081.

180845335712160 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 4 + 5 + 3 + 3 + 571 + 2 + 1 + 60 = 666.

180845335712160 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180845335712159) and next prime (180845335712161).

It is a junction number, because it is equal to n+sod(n) for n = 180845335712097 and 180845335712106.

It is not an unprimeable number, because it can be changed into a prime (180845335712161) 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, 17101995 + ... + 25576725.

It is an arithmetic number, because the mean of its divisors is an integer number (1284049018980).

Almost surely, 2^{180845335712160} is an apocalyptic number.

180845335712160 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 180845335712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369806117466240).

180845335712160 is an abundant number, since it is smaller than the sum of its proper divisors (558766899220320).

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

180845335712160 is a wasteful number, since it uses less digits than its factorization.

180845335712160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8474861 (or 8474850 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 180845335712160 in words is "one hundred eighty trillion, eight hundred forty-five billion, three hundred thirty-five million, seven hundred twelve thousand, one hundred sixty".