6546352536456 has 256 divisors, whose sum is σ = 17833547865600. Its totient is φ = 1994913792000.

The previous prime is 6546352536349. The next prime is 6546352536461.

6546352536456 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6546352536456.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 650144190 + ... + 650154258.

It is an arithmetic number, because the mean of its divisors is an integer number (69662296350).

Almost surely, 2^{6546352536456} 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 6546352536456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916773932800).

6546352536456 is an abundant number, since it is smaller than the sum of its proper divisors (11287195329144).

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

6546352536456 is a wasteful number, since it uses less digits than its factorization.

6546352536456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10480 (or 10476 counting only the distinct ones).

The product of its digits is 233280000, while the sum is 60.

The spelling of 6546352536456 in words is "six trillion, five hundred forty-six billion, three hundred fifty-two million, five hundred thirty-six thousand, four hundred fifty-six".