19983669801984 has 2112 divisors, whose sum is σ = 75275125825536. Its totient is φ = 5166023049216.

The previous prime is 19983669801983. The next prime is 19983669802013. The reversal of 19983669801984 is 48910896638991.

19983669801984 is a `hidden beast` number, since 1 + 9 + 98 + 366 + 9 + 80 + 1 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19983669801983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115512542122 + ... + 115512542294.

Almost surely, 2^{19983669801984} is an apocalyptic number.

19983669801984 is a gapful number since it is divisible by the number (14) 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 19983669801984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37637562912768).

19983669801984 is an abundant number, since it is smaller than the sum of its proper divisors (55291456023552).

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

19983669801984 is a wasteful number, since it uses less digits than its factorization.

19983669801984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1451188224, while the sum is 81.

The spelling of 19983669801984 in words is "nineteen trillion, nine hundred eighty-three billion, six hundred sixty-nine million, eight hundred one thousand, nine hundred eighty-four".