19981328913216 has 336 divisors, whose sum is σ = 65940799223040. Its totient is φ = 5926116556800.

The previous prime is 19981328913199. The next prime is 19981328913269. The reversal of 19981328913216 is 61231982318991.

19981328913216 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 1 + 328 + 91 + 3 + 216 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8810496 + ... + 10843776.

It is an arithmetic number, because the mean of its divisors is an integer number (196252378640).

Almost surely, 2^{19981328913216} is an apocalyptic number.

19981328913216 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 19981328913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32970399611520).

19981328913216 is an abundant number, since it is smaller than the sum of its proper divisors (45959470309824).

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

19981328913216 is a wasteful number, since it uses less digits than its factorization.

19981328913216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033371 (or 2033344 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 63.

The spelling of 19981328913216 in words is "nineteen trillion, nine hundred eighty-one billion, three hundred twenty-eight million, nine hundred thirteen thousand, two hundred sixteen".