6541439818004 has 72 divisors (see below), whose sum is σ = 14835361028040. Its totient is φ = 2498587064064.

The previous prime is 6541439817967. The next prime is 6541439818007. The reversal of 6541439818004 is 4008189341456.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47851562500 + 6493588255504 = 218750^2 + 2548252^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541439818007) 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 23 ways as a sum of consecutive naturals, for example, 44189627 + ... + 44337410.

It is an arithmetic number, because the mean of its divisors is an integer number (206046680945).

Almost surely, 2^{6541439818004} is an apocalyptic number.

It is an amenable number.

6541439818004 is an abundant number, since it is smaller than the sum of its proper divisors (8293921210036).

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

6541439818004 is a wasteful number, since it uses less digits than its factorization.

6541439818004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88527097 (or 88527088 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 53.

The spelling of 6541439818004 in words is "six trillion, five hundred forty-one billion, four hundred thirty-nine million, eight hundred eighteen thousand, four".