1681419168 has 384 divisors, whose sum is σ = 5960908800. Its totient is φ = 454118400.

The previous prime is 1681419151. The next prime is 1681419197. The reversal of 1681419168 is 8619141861.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3829893 + ... + 3830331.

It is an arithmetic number, because the mean of its divisors is an integer number (15523200).

Almost surely, 2^1681419168 is an apocalyptic number.

1681419168 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 1681419168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980454400).

1681419168 is an abundant number, since it is smaller than the sum of its proper divisors (4279489632).

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

1681419168 is a wasteful number, since it uses less digits than its factorization.

1681419168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 1681419168 is about 41005.1114862525. Note that the first 3 decimals coincide. The cubic root of 1681419168 is about 1189.1190353816.

The spelling of 1681419168 in words is "one billion, six hundred eighty-one million, four hundred nineteen thousand, one hundred sixty-eight".