180216544896 has 448 divisors, whose sum is σ = 566866175040. Its totient is φ = 56932761600.

The previous prime is 180216544867. The next prime is 180216544903. The reversal of 180216544896 is 698445612081.

180216544896 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 1 + 6 + 544 + 8 + 96 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 281148736 + ... + 281149376.

Almost surely, 2^180216544896 is an apocalyptic number.

180216544896 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 180216544896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283433087520).

180216544896 is an abundant number, since it is smaller than the sum of its proper divisors (386649630144).

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

180216544896 is an equidigital number, since it uses as much as digits as its factorization.

180216544896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 800 counting only the distinct ones).

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

The spelling of 180216544896 in words is "one hundred eighty billion, two hundred sixteen million, five hundred forty-four thousand, eight hundred ninety-six".