444642171503313 has 64 divisors (see below), whose sum is σ = 709788820930560. Its totient is φ = 242078940415488.

The previous prime is 444642171503269. The next prime is 444642171503347. The reversal of 444642171503313 is 313305171246444.

It is a happy number.

It is not a de Polignac number, because 444642171503313 - 2⁶ = 444642171503249 is a prime.

It is a super-2 number, since 2×444642171503313² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444642171503213) 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 63 ways as a sum of consecutive naturals, for example, 610682845 + ... + 611410517.

It is an arithmetic number, because the mean of its divisors is an integer number (11090450327040).

Almost surely, 2^{444642171503313} is an apocalyptic number.

It is an amenable number.

444642171503313 is a deficient number, since it is larger than the sum of its proper divisors (265146649427247).

444642171503313 is a wasteful number, since it uses less digits than its factorization.

444642171503313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732678.

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 444642171503313 in words is "four hundred forty-four trillion, six hundred forty-two billion, one hundred seventy-one million, five hundred three thousand, three hundred thirteen".