6049044584856 has 1536 divisors, whose sum is σ = 23153614848000. Its totient is φ = 1442551638528.

The previous prime is 6049044584851. The next prime is 6049044584917. The reversal of 6049044584856 is 6584854409406.

6049044584856 is a `hidden beast` number, since 6 + 0 + 4 + 9 + 0 + 44 + 584 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6049044584793 and 6049044584802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6049044584851) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 13064890881 + ... + 13064891343.

It is an arithmetic number, because the mean of its divisors is an integer number (15073968000).

Almost surely, 2^{6049044584856} 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 6049044584856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11576807424000).

6049044584856 is an abundant number, since it is smaller than the sum of its proper divisors (17104570263144).

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

6049044584856 is a wasteful number, since it uses less digits than its factorization.

6049044584856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 6049044584856 in words is "six trillion, forty-nine billion, forty-four million, five hundred eighty-four thousand, eight hundred fifty-six".