643146641346 has 32 divisors (see below), whose sum is σ = 1441154150208. Its totient is φ = 189625544640.

The previous prime is 643146641321. The next prime is 643146641353.

643146641346 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 643146641295 and 643146641304.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 131681965 + ... + 131686848.

It is an arithmetic number, because the mean of its divisors is an integer number (45036067194).

Almost surely, 2^643146641346 is an apocalyptic number.

643146641346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

643146641346 is an abundant number, since it is smaller than the sum of its proper divisors (798007508862).

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

643146641346 is a wasteful number, since it uses less digits than its factorization.

643146641346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263368866.

The product of its digits is 2985984, while the sum is 48.

The spelling of 643146641346 in words is "six hundred forty-three billion, one hundred forty-six million, six hundred forty-one thousand, three hundred forty-six".