643443303344346 has 64 divisors (see below), whose sum is σ = 1433958429968640. Its totient is φ = 213868466380800.

The previous prime is 643443303344341. The next prime is 643443303344417.

643443303344346 is a `hidden beast` number, since 64 + 3 + 4 + 43 + 30 + 33 + 443 + 46 = 666.

643443303344346 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 643443303344292 and 643443303344301.

It is not an unprimeable number, because it can be changed into a prime (643443303344341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857090746 + ... + 857841146.

It is an arithmetic number, because the mean of its divisors is an integer number (22405600468260).

Almost surely, 2^{643443303344346} is an apocalyptic number.

643443303344346 is an abundant number, since it is smaller than the sum of its proper divisors (790515126624294).

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

643443303344346 is a wasteful number, since it uses less digits than its factorization.

643443303344346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795748 (or 795742 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 54.

It can be divided in two parts, 64344330 and 3344346, that added together give a palindrome (67688676).

The spelling of 643443303344346 in words is "six hundred forty-three trillion, four hundred forty-three billion, three hundred three million, three hundred forty-four thousand, three hundred forty-six".