444297146112 has 360 divisors, whose sum is σ = 1377209843856. Its totient is φ = 142339866624.

The previous prime is 444297146107. The next prime is 444297146123. The reversal of 444297146112 is 211641792444.

444297146112 is a `hidden beast` number, since 4 + 4 + 4 + 29 + 7 + 1 + 4 + 611 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63676768 + ... + 63683744.

Almost surely, 2^444297146112 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 444297146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688604921928).

444297146112 is an abundant number, since it is smaller than the sum of its proper divisors (932912697744).

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

444297146112 is an equidigital number, since it uses as much as digits as its factorization.

444297146112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7125 (or 7102 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 444297146112 in words is "four hundred forty-four billion, two hundred ninety-seven million, one hundred forty-six thousand, one hundred twelve".