16818988401216 has 189 divisors, whose sum is σ = 48693842628249. Its totient is φ = 5550456135168.

The previous prime is 16818988401157. The next prime is 16818988401217. The reversal of 16818988401216 is 61210488981861.

The square root of 16818988401216 is 4101096.

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

16818988401216 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 8 + 9 + 8 + 8 + 401 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3371336654400 + 13447651746816 = 1836120^2 + 3667104^2 .

It is not an unprimeable number, because it can be changed into a prime (16818988401217) 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, 10531613730 + ... + 10531615326.

Almost surely, 2^{16818988401216} is an apocalyptic number.

16818988401216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16818988401216 is the 4101096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16818988401216

16818988401216 is an abundant number, since it is smaller than the sum of its proper divisors (31874854227033).

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

16818988401216 is an frugal number, since it uses more digits than its factorization.

16818988401216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 63.

The spelling of 16818988401216 in words is "sixteen trillion, eight hundred eighteen billion, nine hundred eighty-eight million, four hundred one thousand, two hundred sixteen".