180382305699904 has 189 divisors, whose sum is σ = 457701827692431. Its totient is φ = 70275597047040.

The previous prime is 180382305699901. The next prime is 180382305699931. The reversal of 180382305699904 is 409996503283081.

The square root of 180382305699904 is 13430648.

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

It is a super-2 number, since 2×180382305699904² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 180382305699904.

It is not an unprimeable number, because it can be changed into a prime (180382305699901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8273268267 + ... + 8273290069.

Almost surely, 2^{180382305699904} is an apocalyptic number.

180382305699904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

180382305699904 is the 13430648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180382305699904

180382305699904 is an abundant number, since it is smaller than the sum of its proper divisors (277319521992527).

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

180382305699904 is an frugal number, since it uses more digits than its factorization.

180382305699904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43654 (or 21823 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 67.

The spelling of 180382305699904 in words is "one hundred eighty trillion, three hundred eighty-two billion, three hundred five million, six hundred ninety-nine thousand, nine hundred four".