5954449582848 has 288 divisors, whose sum is σ = 17327772536256. Its totient is φ = 1804304646144.

The previous prime is 5954449582847. The next prime is 5954449582867. The reversal of 5954449582848 is 8482859444595.

It is a super-3 number, since 3×5954449582848³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 5954449582848.

It is not an unprimeable number, because it can be changed into a prime (5954449582841) by changing a digit.

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, 177109336 + ... + 177142952.

It is an arithmetic number, because the mean of its divisors is an integer number (60165876862).

Almost surely, 2^{5954449582848} 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 5954449582848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8663886268128).

5954449582848 is an abundant number, since it is smaller than the sum of its proper divisors (11373322953408).

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

5954449582848 is a wasteful number, since it uses less digits than its factorization.

5954449582848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33919 (or 33905 counting only the distinct ones).

The product of its digits is 2654208000, while the sum is 75.

The spelling of 5954449582848 in words is "five trillion, nine hundred fifty-four billion, four hundred forty-nine million, five hundred eighty-two thousand, eight hundred forty-eight".