643317713346 has 128 divisors (see below), whose sum is σ = 1637312071680. Its totient is φ = 163672819200.

The previous prime is 643317713333. The next prime is 643317713369.

643317713346 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 643317713295 and 643317713304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4326516 + ... + 4472736.

It is an arithmetic number, because the mean of its divisors is an integer number (12791500560).

Almost surely, 2^643317713346 is an apocalyptic number.

643317713346 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 643317713346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818656035840).

643317713346 is an abundant number, since it is smaller than the sum of its proper divisors (993994358334).

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

643317713346 is a wasteful number, since it uses less digits than its factorization.

643317713346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146440.

The product of its digits is 2286144, while the sum is 48.

The spelling of 643317713346 in words is "six hundred forty-three billion, three hundred seventeen million, seven hundred thirteen thousand, three hundred forty-six".