6348624819741 has 16 divisors (see below), whose sum is σ = 9405783838720. Its totient is φ = 4232230365600.

The previous prime is 6348624819739. The next prime is 6348624819773. The reversal of 6348624819741 is 1479184268436.

6348624819741 is a `hidden beast` number, since 6 + 3 + 4 + 8 + 62 + 481 + 97 + 4 + 1 = 666.

6348624819741 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6348624819741 - 2¹ = 6348624819739 is a prime.

It is a super-3 number, since 3×6348624819741³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6348624819781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4545160 + ... + 5775441.

It is an arithmetic number, because the mean of its divisors is an integer number (587861489920).

Almost surely, 2^{6348624819741} is an apocalyptic number.

It is an amenable number.

6348624819741 is a deficient number, since it is larger than the sum of its proper divisors (3057159018979).

6348624819741 is a wasteful number, since it uses less digits than its factorization.

6348624819741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343393 (or 10343387 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 6348624819741 in words is "six trillion, three hundred forty-eight billion, six hundred twenty-four million, eight hundred nineteen thousand, seven hundred forty-one".