444723113000 has 64 divisors (see below), whose sum is σ = 1042643085120. Its totient is φ = 177548904000.

The previous prime is 444723112997. The next prime is 444723113033. The reversal of 444723113000 is 311327444.

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, 97835 + ... + 948165.

It is an arithmetic number, because the mean of its divisors is an integer number (16291298205).

Almost surely, 2^444723113000 is an apocalyptic number.

444723113000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444723113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521321542560).

444723113000 is an abundant number, since it is smaller than the sum of its proper divisors (597919972120).

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

444723113000 is a wasteful number, since it uses less digits than its factorization.

444723113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850875 (or 850861 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The spelling of 444723113000 in words is "four hundred forty-four billion, seven hundred twenty-three million, one hundred thirteen thousand".