180180180513216 has 448 divisors, whose sum is σ = 578426244963840. Its totient is φ = 54666679541760.

The previous prime is 180180180513169. The next prime is 180180180513233. The reversal of 180180180513216 is 612315081081081.

180180180513216 is a `hidden beast` number, since 1 + 80 + 180 + 180 + 5 + 1 + 3 + 216 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 971318011 + ... + 971503493.

It is an arithmetic number, because the mean of its divisors is an integer number (1291130011080).

Almost surely, 2^{180180180513216} is an apocalyptic number.

180180180513216 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 180180180513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289213122481920).

180180180513216 is an abundant number, since it is smaller than the sum of its proper divisors (398246064450624).

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

180180180513216 is a wasteful number, since it uses less digits than its factorization.

180180180513216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186121 (or 186105 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 180180180513216 in words is "one hundred eighty trillion, one hundred eighty billion, one hundred eighty million, five hundred thirteen thousand, two hundred sixteen".