16983787968 has 224 divisors, whose sum is σ = 58903941120. Its totient is φ = 4695874560.

The previous prime is 16983787957. The next prime is 16983787981. The reversal of 16983787968 is 86978738961.

16983787968 is a `hidden beast` number, since 169 + 8 + 378 + 7 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 16983787896 and 16983787905.

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 31 ways as a sum of consecutive naturals, for example, 352330 + ... + 397622.

Almost surely, 2^16983787968 is an apocalyptic number.

16983787968 is a gapful number since it is divisible by the number (18) 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 16983787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29451970560).

16983787968 is an abundant number, since it is smaller than the sum of its proper divisors (41920153152).

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

16983787968 is a wasteful number, since it uses less digits than its factorization.

16983787968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45352 (or 45336 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 72.

The spelling of 16983787968 in words is "sixteen billion, nine hundred eighty-three million, seven hundred eighty-seven thousand, nine hundred sixty-eight".