18327782961216 has 189 divisors, whose sum is σ = 54416085074013. Its totient is φ = 5897637849600.

The previous prime is 18327782961209. The next prime is 18327782961221. The reversal of 18327782961216 is 61216928772381.

The square root of 18327782961216 is 4281096.

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

18327782961216 is a `hidden beast` number, since 1 + 8 + 3 + 2 + 7 + 7 + 8 + 2 + 9 + 612 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9610644810816 + 8717138150400 = 3100104^2 + 2952480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2979639741 + ... + 2979645891.

Almost surely, 2^{18327782961216} is an apocalyptic number.

18327782961216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18327782961216 is the 4281096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18327782961216

18327782961216 is an abundant number, since it is smaller than the sum of its proper divisors (36088302112797).

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

18327782961216 is an frugal number, since it uses more digits than its factorization.

18327782961216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12378 (or 6185 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 18327782961216 in words is "eighteen trillion, three hundred twenty-seven billion, seven hundred eighty-two million, nine hundred sixty-one thousand, two hundred sixteen".