444325343523444 has 24 divisors (see below), whose sum is σ = 1151954594320320. Its totient is φ = 148108447841112.

The previous prime is 444325343523419. The next prime is 444325343523463.

444325343523444 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 2 + 534 + 35 + 2 + 34 + 44 = 666.

444325343523444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444325343523444² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2057061775464 + ... + 2057061775679.

It is an arithmetic number, because the mean of its divisors is an integer number (47998108096680).

Almost surely, 2^{444325343523444} is an apocalyptic number.

It is an amenable number.

444325343523444 is an abundant number, since it is smaller than the sum of its proper divisors (707629250796876).

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

444325343523444 is a wasteful number, since it uses less digits than its factorization.

444325343523444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114123551156 (or 4114123551148 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 54.

The spelling of 444325343523444 in words is "four hundred forty-four trillion, three hundred twenty-five billion, three hundred forty-three million, five hundred twenty-three thousand, four hundred forty-four".