180499117520016 has 135 divisors (see below), whose sum is σ = 519185600731161. Its totient is φ = 58538319691392.

The previous prime is 180499117520009. The next prime is 180499117520041. The reversal of 180499117520016 is 610025711994081.

The square root of 180499117520016 is 13434996.

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

180499117520016 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 9 + 91 + 17 + 520 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 161513089088400 + 18986028431616 = 12708780^2 + 4357296^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5965123095 + ... + 5965153353.

Almost surely, 2^{180499117520016} is an apocalyptic number.

180499117520016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

180499117520016 is the 13434996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180499117520016

180499117520016 is an abundant number, since it is smaller than the sum of its proper divisors (338686483211145).

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

180499117520016 is an frugal number, since it uses more digits than its factorization.

180499117520016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60606 (or 30301 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 180499117520016 in words is "one hundred eighty trillion, four hundred ninety-nine billion, one hundred seventeen million, five hundred twenty thousand, sixteen".