643368444863346 has 96 divisors (see below), whose sum is σ = 1454760255973440. Its totient is φ = 205297751311488.

The previous prime is 643368444863303. The next prime is 643368444863377.

643368444863346 is a `hidden beast` number, since 6 + 4 + 3 + 3 + 6 + 84 + 448 + 63 + 3 + 46 = 666.

643368444863346 is nontrivially palindromic in base 10.

643368444863346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×643368444863346² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28295505 + ... + 45687771.

It is an arithmetic number, because the mean of its divisors is an integer number (15153752666390).

Almost surely, 2^{643368444863346} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643368444863346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727380127986720).

643368444863346 is an abundant number, since it is smaller than the sum of its proper divisors (811391811110094).

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

643368444863346 is a wasteful number, since it uses less digits than its factorization.

643368444863346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17393208 (or 17393205 counting only the distinct ones).

The product of its digits is 6879707136, while the sum is 72.

The spelling of 643368444863346 in words is "six hundred forty-three trillion, three hundred sixty-eight billion, four hundred forty-four million, eight hundred sixty-three thousand, three hundred forty-six".