444233954112 has 336 divisors, whose sum is σ = 1366018795008. Its totient is φ = 126515220480.

The previous prime is 444233954077. The next prime is 444233954149. The reversal of 444233954112 is 211459332444.

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, 40926478 + ... + 40937330.

It is an arithmetic number, because the mean of its divisors is an integer number (4065532128).

Almost surely, 2^444233954112 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 444233954112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683009397504).

444233954112 is an abundant number, since it is smaller than the sum of its proper divisors (921784840896).

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

444233954112 is a wasteful number, since it uses less digits than its factorization.

444233954112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10958 (or 10925 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 444233954112 in words is "four hundred forty-four billion, two hundred thirty-three million, nine hundred fifty-four thousand, one hundred twelve".