6821128458144 has 1728 divisors, whose sum is σ = 28062718354944. Its totient is φ = 1525506048000.

The previous prime is 6821128458119. The next prime is 6821128458161. The reversal of 6821128458144 is 4418548211286.

6821128458144 is a `hidden beast` number, since 6 + 8 + 2 + 1 + 12 + 8 + 4 + 581 + 44 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2990410284 + ... + 2990412564.

It is an arithmetic number, because the mean of its divisors is an integer number (16239999048).

Almost surely, 2^{6821128458144} 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 6821128458144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031359177472).

6821128458144 is an abundant number, since it is smaller than the sum of its proper divisors (21241589896800).

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

6821128458144 is a wasteful number, since it uses less digits than its factorization.

6821128458144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2381 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 54.

The spelling of 6821128458144 in words is "six trillion, eight hundred twenty-one billion, one hundred twenty-eight million, four hundred fifty-eight thousand, one hundred forty-four".