6541358531456 has 256 divisors, whose sum is σ = 16733920896000. Its totient is φ = 2481028104192.

The previous prime is 6541358531447. The next prime is 6541358531459.

6541358531456 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541358531459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20511590 + ... + 20828058.

It is an arithmetic number, because the mean of its divisors is an integer number (65366878500).

Almost surely, 2^{6541358531456} 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 6541358531456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8366960448000).

6541358531456 is an abundant number, since it is smaller than the sum of its proper divisors (10192562364544).

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

6541358531456 is a wasteful number, since it uses less digits than its factorization.

6541358531456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316589 (or 316577 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 56.

The spelling of 6541358531456 in words is "six trillion, five hundred forty-one billion, three hundred fifty-eight million, five hundred thirty-one thousand, four hundred fifty-six".