4839525457344 has 336 divisors, whose sum is σ = 14960830510080. Its totient is φ = 1490896005120.

The previous prime is 4839525457339. The next prime is 4839525457369. The reversal of 4839525457344 is 4437545259384.

4839525457344 is a `hidden beast` number, since 4 + 8 + 3 + 9 + 5 + 2 + 54 + 573 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159953322 + ... + 159983574.

It is an arithmetic number, because the mean of its divisors is an integer number (44526281280).

Almost surely, 2^{4839525457344} 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 4839525457344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480415255040).

4839525457344 is an abundant number, since it is smaller than the sum of its proper divisors (10121305052736).

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

4839525457344 is a wasteful number, since it uses less digits than its factorization.

4839525457344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30648 (or 30635 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 63.

The spelling of 4839525457344 in words is "four trillion, eight hundred thirty-nine billion, five hundred twenty-five million, four hundred fifty-seven thousand, three hundred forty-four".