1668294144 has 480 divisors, whose sum is σ = 5791129344. Its totient is φ = 474439680.

The previous prime is 1668294139. The next prime is 1668294149. The reversal of 1668294144 is 4414928661.

It is an interprime number because it is at equal distance from previous prime (1668294139) and next prime (1668294149).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1668294144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668294149) 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, 31477222 + ... + 31477274.

Almost surely, 2^1668294144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1668294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895564672).

1668294144 is an abundant number, since it is smaller than the sum of its proper divisors (4122835200).

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

1668294144 is an equidigital number, since it uses as much as digits as its factorization.

1668294144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 92 counting only the distinct ones).

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

The square root of 1668294144 is about 40844.7566279933. The cubic root of 1668294144 is about 1186.0168934991.

The spelling of 1668294144 in words is "one billion, six hundred sixty-eight million, two hundred ninety-four thousand, one hundred forty-four".