6456246426546 has 96 divisors (see below), whose sum is σ = 15172607705472. Its totient is φ = 1825988774400.

The previous prime is 6456246426541. The next prime is 6456246426563.

It is a happy number.

6456246426546 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6456246426546.

It is not an unprimeable number, because it can be changed into a prime (6456246426541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157268595 + ... + 157309641.

It is an arithmetic number, because the mean of its divisors is an integer number (158047996932).

Almost surely, 2^{6456246426546} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6456246426546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7586303852736).

6456246426546 is an abundant number, since it is smaller than the sum of its proper divisors (8716361278926).

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

6456246426546 is a wasteful number, since it uses less digits than its factorization.

6456246426546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46464 (or 46457 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 60.

The spelling of 6456246426546 in words is "six trillion, four hundred fifty-six billion, two hundred forty-six million, four hundred twenty-six thousand, five hundred forty-six".