180183963638016 has 1728 divisors, whose sum is σ = 608374145433600. Its totient is φ = 50828327387136.

The previous prime is 180183963637987. The next prime is 180183963638023. The reversal of 180183963638016 is 610836369381081.

180183963638016 is a `hidden beast` number, since 1 + 8 + 0 + 183 + 9 + 6 + 363 + 80 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 773321732236 + ... + 773321732468.

It is an arithmetic number, because the mean of its divisors is an integer number (352068371200).

Almost surely, 2^{180183963638016} is an apocalyptic number.

180183963638016 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 180183963638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304187072716800).

180183963638016 is an abundant number, since it is smaller than the sum of its proper divisors (428190181795584).

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

180183963638016 is a wasteful number, since it uses less digits than its factorization.

180183963638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 180183963638016 in words is "one hundred eighty trillion, one hundred eighty-three billion, nine hundred sixty-three million, six hundred thirty-eight thousand, sixteen".