644201113329 has 24 divisors (see below), whose sum is σ = 1001400395112. Its totient is φ = 397578309120.

The previous prime is 644201113273. The next prime is 644201113331. The reversal of 644201113329 is 923311102446.

644201113329 is a `hidden beast` number, since 644 + 2 + 0 + 1 + 1 + 1 + 3 + 3 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13677770304 + 630523343025 = 116952^2 + 794055^2 .

It is not a de Polignac number, because 644201113329 - 2²⁴ = 644184336113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 644201113293 and 644201113302.

It is not an unprimeable number, because it can be changed into a prime (644201113429) 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 23 ways as a sum of consecutive naturals, for example, 34502674 + ... + 34521339.

It is an arithmetic number, because the mean of its divisors is an integer number (41725016463).

Almost surely, 2^644201113329 is an apocalyptic number.

It is an amenable number.

644201113329 is a deficient number, since it is larger than the sum of its proper divisors (357199281783).

644201113329 is a wasteful number, since it uses less digits than its factorization.

644201113329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69024097 (or 69024094 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 644201113329 in words is "six hundred forty-four billion, two hundred one million, one hundred thirteen thousand, three hundred twenty-nine".