643413314346 has 32 divisors (see below), whose sum is σ = 1403867801088. Its totient is φ = 194965824240.

The previous prime is 643413314317. The next prime is 643413314351.

643413314346 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 643413314298 and 643413314307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1559445 + ... + 1928391.

It is an arithmetic number, because the mean of its divisors is an integer number (43870868784).

Almost surely, 2^643413314346 is an apocalyptic number.

643413314346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

643413314346 is an abundant number, since it is smaller than the sum of its proper divisors (760454486742).

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

643413314346 is a wasteful number, since it uses less digits than its factorization.

643413314346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395386.

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 643413 and 314346, that added together give a palindrome (957759).

The spelling of 643413314346 in words is "six hundred forty-three billion, four hundred thirteen million, three hundred fourteen thousand, three hundred forty-six".