180308365416 has 256 divisors, whose sum is σ = 514128384000. Its totient is φ = 58539386880.

The previous prime is 180308365409. The next prime is 180308365417. The reversal of 180308365416 is 614563803081.

It is a super-2 number, since 2×180308365416² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (180308365417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 491303265 + ... + 491303631.

It is an arithmetic number, because the mean of its divisors is an integer number (2008314000).

Almost surely, 2^180308365416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180308365416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257064192000).

180308365416 is an abundant number, since it is smaller than the sum of its proper divisors (333820018584).

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

180308365416 is a wasteful number, since it uses less digits than its factorization.

180308365416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 180308365416 in words is "one hundred eighty billion, three hundred eight million, three hundred sixty-five thousand, four hundred sixteen".