441345564345 has 64 divisors (see below), whose sum is σ = 854899163136. Its totient is φ = 189802122240.

The previous prime is 441345564307. The next prime is 441345564371. The reversal of 441345564345 is 543465543144.

It is not a de Polignac number, because 441345564345 - 2⁶ = 441345564281 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 441345564294 and 441345564303.

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 63 ways as a sum of consecutive naturals, for example, 3883480 + ... + 3995510.

It is an arithmetic number, because the mean of its divisors is an integer number (13357799424).

Almost surely, 2^441345564345 is an apocalyptic number.

It is an amenable number.

441345564345 is a deficient number, since it is larger than the sum of its proper divisors (413553598791).

441345564345 is a wasteful number, since it uses less digits than its factorization.

441345564345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114270.

The product of its digits is 6912000, while the sum is 48.

The spelling of 441345564345 in words is "four hundred forty-one billion, three hundred forty-five million, five hundred sixty-four thousand, three hundred forty-five".