16984276992 has 288 divisors, whose sum is σ = 51594394800. Its totient is φ = 5589762048.

The previous prime is 16984276987. The next prime is 16984277003. The reversal of 16984276992 is 29967248961.

16984276992 is a `hidden beast` number, since 1 + 69 + 8 + 427 + 69 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (23514624) is a multiple of the sum of its prime divisors (84).

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 17 ways as a sum of consecutive naturals, for example, 214990809 + ... + 214990887.

Almost surely, 2^16984276992 is an apocalyptic number.

16984276992 is a gapful number since it is divisible by the number (12) 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 16984276992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25797197400).

16984276992 is an abundant number, since it is smaller than the sum of its proper divisors (34610117808).

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

16984276992 is an frugal number, since it uses more digits than its factorization.

16984276992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 84 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 16984276992 in words is "sixteen billion, nine hundred eighty-four million, two hundred seventy-six thousand, nine hundred ninety-two".