180798441616 has 225 divisors, whose sum is σ = 414312954279. Its totient is φ = 76414261248.

The previous prime is 180798441589. The next prime is 180798441647. The reversal of 180798441616 is 616144897081.

It is a happy number.

The square root of 180798441616 is 425204.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 180628400016 + 170041600 = 425004^2 + 13040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4886444350 + ... + 4886444386.

Almost surely, 2^180798441616 is an apocalyptic number.

180798441616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

180798441616 is the 425204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180798441616

180798441616 is an abundant number, since it is smaller than the sum of its proper divisors (233514512663).

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

180798441616 is an frugal number, since it uses more digits than its factorization.

180798441616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 55.

It can be divided in two parts, 1807984 and 41616, that added together give a square (1849600 = 1360²).

The spelling of 180798441616 in words is "one hundred eighty billion, seven hundred ninety-eight million, four hundred forty-one thousand, six hundred sixteen".