16984999140480 has 1536 divisors, whose sum is σ = 73157050368000. Its totient is φ = 3709040025600.

The previous prime is 16984999140443. The next prime is 16984999140481. The reversal of 16984999140480 is 8404199948961.

16984999140480 is a `hidden beast` number, since 1 + 6 + 9 + 8 + 49 + 99 + 14 + 0 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 16984999140399 and 16984999140408.

It is not an unprimeable number, because it can be changed into a prime (16984999140481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2073613185 + ... + 2073621375.

It is an arithmetic number, because the mean of its divisors is an integer number (47628288000).

Almost surely, 2^{16984999140480} is an apocalyptic number.

16984999140480 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 16984999140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36578525184000).

16984999140480 is an abundant number, since it is smaller than the sum of its proper divisors (56172051227520).

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

16984999140480 is a wasteful number, since it uses less digits than its factorization.

16984999140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8343 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 16984999140480 in words is "sixteen trillion, nine hundred eighty-four billion, nine hundred ninety-nine million, one hundred forty thousand, four hundred eighty".