842168768448 has 224 divisors, whose sum is σ = 2577159590400. Its totient is φ = 237732397056.

The previous prime is 842168768401. The next prime is 842168768501. The reversal of 842168768448 is 844867861248.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (66) 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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254660811 + ... + 254664117.

Almost surely, 2^842168768448 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 842168768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288579795200).

842168768448 is an abundant number, since it is smaller than the sum of its proper divisors (1734990821952).

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

842168768448 is a wasteful number, since it uses less digits than its factorization.

842168768448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5547 (or 5537 counting only the distinct ones).

The product of its digits is 132120576, while the sum is 66.

The spelling of 842168768448 in words is "eight hundred forty-two billion, one hundred sixty-eight million, seven hundred sixty-eight thousand, four hundred forty-eight".