6001116224448 has 112 divisors (see below), whose sum is σ = 16080823393280. Its totient is φ = 1974819585024.

The previous prime is 6001116224431. The next prime is 6001116224471. The reversal of 6001116224448 is 8444226111006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171183690 + ... + 171218742.

Almost surely, 2^{6001116224448} 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 6001116224448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8040411696640).

6001116224448 is an abundant number, since it is smaller than the sum of its proper divisors (10079707168832).

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

6001116224448 is a wasteful number, since it uses less digits than its factorization.

6001116224448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46434 (or 46424 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 6001116224448 in words is "six trillion, one billion, one hundred sixteen million, two hundred twenty-four thousand, four hundred forty-eight".