16983249223680 has 768 divisors, whose sum is σ = 61933557104640. Its totient is φ = 4296759312384.

The previous prime is 16983249223673. The next prime is 16983249223687. The reversal of 16983249223680 is 8632294238961.

It is a happy number.

16983249223680 is a `hidden beast` number, since 1 + 6 + 9 + 8 + 3 + 249 + 22 + 368 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16983249223673) and next prime (16983249223687).

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16983249223687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4307187789 + ... + 4307191731.

It is an arithmetic number, because the mean of its divisors is an integer number (80642652480).

Almost surely, 2^{16983249223680} is an apocalyptic number.

16983249223680 is a gapful number since it is divisible by the number (10) 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 16983249223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30966778552320).

16983249223680 is an abundant number, since it is smaller than the sum of its proper divisors (44950307880960).

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

16983249223680 is a wasteful number, since it uses less digits than its factorization.

16983249223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 16983249223680 in words is "sixteen trillion, nine hundred eighty-three billion, two hundred forty-nine million, two hundred twenty-three thousand, six hundred eighty".