1663284168 has 384 divisors, whose sum is σ = 6038323200. Its totient is φ = 401241600.

The previous prime is 1663284151. The next prime is 1663284173. The reversal of 1663284168 is 8614823661.

1663284168 is a `hidden beast` number, since 1 + 6 + 632 + 8 + 4 + 1 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3858913 + ... + 3859343.

It is an arithmetic number, because the mean of its divisors is an integer number (15724800).

Almost surely, 2^1663284168 is an apocalyptic number.

1663284168 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 1663284168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019161600).

1663284168 is an abundant number, since it is smaller than the sum of its proper divisors (4375039032).

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

1663284168 is a wasteful number, since it uses less digits than its factorization.

1663284168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 506 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1663284168 is about 40783.3810270801. The cubic root of 1663284168 is about 1184.8284791538.

The spelling of 1663284168 in words is "one billion, six hundred sixty-three million, two hundred eighty-four thousand, one hundred sixty-eight".