6468134318646 has 288 divisors, whose sum is σ = 18522905829120. Its totient is φ = 1469176600320.

The previous prime is 6468134318623. The next prime is 6468134318647.

6468134318646 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 6468134318646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6468134318647) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16120116 + ... + 16516488.

It is an arithmetic number, because the mean of its divisors is an integer number (64315645240).

Almost surely, 2^{6468134318646} is an apocalyptic number.

6468134318646 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6468134318646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9261452914560).

6468134318646 is an abundant number, since it is smaller than the sum of its proper divisors (12054771510474).

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

6468134318646 is a wasteful number, since it uses less digits than its factorization.

6468134318646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396452 (or 396428 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 60.

The spelling of 6468134318646 in words is "six trillion, four hundred sixty-eight billion, one hundred thirty-four million, three hundred eighteen thousand, six hundred forty-six".