444365323563444 has 48 divisors (see below), whose sum is σ = 1038338482130880. Its totient is φ = 147909617994240.

The previous prime is 444365323563433. The next prime is 444365323563467.

444365323563444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444365323563444² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17184412 + ... + 34409804.

It is an arithmetic number, because the mean of its divisors is an integer number (21632051711060).

Almost surely, 2^{444365323563444} is an apocalyptic number.

It is an amenable number.

444365323563444 is an abundant number, since it is smaller than the sum of its proper divisors (593973158567436).

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

444365323563444 is a wasteful number, since it uses less digits than its factorization.

444365323563444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17228480 (or 17228478 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 60.

The spelling of 444365323563444 in words is "four hundred forty-four trillion, three hundred sixty-five billion, three hundred twenty-three million, five hundred sixty-three thousand, four hundred forty-four".