444246525642444 has 72 divisors (see below), whose sum is σ = 1207722953219328. Its totient is φ = 126726425592480.

The previous prime is 444246525642443. The next prime is 444246525642449.

It is a happy number.

444246525642444 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (444246525642443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598298784 + ... + 599040839.

It is an arithmetic number, because the mean of its divisors is an integer number (16773929905824).

Almost surely, 2^{444246525642444} is an apocalyptic number.

It is an amenable number.

444246525642444 is an abundant number, since it is smaller than the sum of its proper divisors (763476427576884).

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

444246525642444 is a wasteful number, since it uses less digits than its factorization.

444246525642444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197340275 (or 1197340266 counting only the distinct ones).

The product of its digits is 471859200, while the sum is 60.

The spelling of 444246525642444 in words is "four hundred forty-four trillion, two hundred forty-six billion, five hundred twenty-five million, six hundred forty-two thousand, four hundred forty-four".