644614416446 has 64 divisors (see below), whose sum is σ = 1324739404800. Its totient is φ = 231829325280.

The previous prime is 644614416443. The next prime is 644614416449.

644614416446 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (644614416443) and next prime (644614416449).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 644614416394 and 644614416403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644614416443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3187466 + ... + 3383661.

It is an arithmetic number, because the mean of its divisors is an integer number (20699053200).

Almost surely, 2^644614416446 is an apocalyptic number.

644614416446 is an abundant number, since it is smaller than the sum of its proper divisors (680124988354).

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

644614416446 is a wasteful number, since it uses less digits than its factorization.

644614416446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571174 (or 6571160 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 50.

The spelling of 644614416446 in words is "six hundred forty-four billion, six hundred fourteen million, four hundred sixteen thousand, four hundred forty-six".