444336264726172 has 144 divisors (see below), whose sum is σ = 976347085913472. Its totient is φ = 175379921418240.

The previous prime is 444336264726169. The next prime is 444336264726239. The reversal of 444336264726172 is 271627462633444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 444336264726172.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12175913158 + ... + 12175949650.

Almost surely, 2^{444336264726172} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444336264726172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488173542956736).

444336264726172 is an abundant number, since it is smaller than the sum of its proper divisors (532010821187300).

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

444336264726172 is a wasteful number, since it uses less digits than its factorization.

444336264726172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47308 (or 47299 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 61.

The spelling of 444336264726172 in words is "four hundred forty-four trillion, three hundred thirty-six billion, two hundred sixty-four million, seven hundred twenty-six thousand, one hundred seventy-two".