16984249920 has 336 divisors, whose sum is σ = 64398192768. Its totient is φ = 4074209280.

The previous prime is 16984249907. The next prime is 16984249921. The reversal of 16984249920 is 2994248961.

16984249920 is a `hidden beast` number, since 1 + 6 + 98 + 42 + 499 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (16984249921) 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, 3070197 + ... + 3075723.

It is an arithmetic number, because the mean of its divisors is an integer number (191661288).

Almost surely, 2^16984249920 is an apocalyptic number.

16984249920 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 16984249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32199096384).

16984249920 is an abundant number, since it is smaller than the sum of its proper divisors (47413942848).

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

16984249920 is a wasteful number, since it uses less digits than its factorization.

16984249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5658 (or 5645 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 16984249920 in words is "sixteen billion, nine hundred eighty-four million, two hundred forty-nine thousand, nine hundred twenty".