6524848484256 has 24 divisors (see below), whose sum is σ = 17127727271424. Its totient is φ = 2174949494720.

The previous prime is 6524848484233. The next prime is 6524848484293.

It is a happy number.

6524848484256 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×6524848484256⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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 an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33983585760 + ... + 33983585951.

It is an arithmetic number, because the mean of its divisors is an integer number (713655302976).

Almost surely, 2^{6524848484256} is an apocalyptic number.

It is an amenable number.

6524848484256 is an abundant number, since it is smaller than the sum of its proper divisors (10602878787168).

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

6524848484256 is a wasteful number, since it uses less digits than its factorization.

6524848484256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67967171724 (or 67967171716 counting only the distinct ones).

The product of its digits is 471859200, while the sum is 66.

The spelling of 6524848484256 in words is "six trillion, five hundred twenty-four billion, eight hundred forty-eight million, four hundred eighty-four thousand, two hundred fifty-six".