6546126216456 has 128 divisors (see below), whose sum is σ = 18372540614400. Its totient is φ = 2159400038400.

The previous prime is 6546126216431. The next prime is 6546126216457.

6546126216456 is a `hidden beast` number, since 6 + 5 + 4 + 6 + 1 + 2 + 621 + 6 + 4 + 5 + 6 = 666.

6546126216456 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6546126216457) 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 31 ways as a sum of consecutive naturals, for example, 46026205 + ... + 46168211.

It is an arithmetic number, because the mean of its divisors is an integer number (143535473550).

Almost surely, 2^{6546126216456} 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 6546126216456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186270307200).

6546126216456 is an abundant number, since it is smaller than the sum of its proper divisors (11826414397944).

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

6546126216456 is a wasteful number, since it uses less digits than its factorization.

6546126216456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144236 (or 144226 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 6546126216456 in words is "six trillion, five hundred forty-six billion, one hundred twenty-six million, two hundred sixteen thousand, four hundred fifty-six".