444333856512 has 576 divisors, whose sum is σ = 1563578240000. Its totient is φ = 111002959872.

The previous prime is 444333856507. The next prime is 444333856559. The reversal of 444333856512 is 215658333444.

It is a happy number.

It is a super-2 number, since 2×444333856512² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65062314 + ... + 65069142.

Almost surely, 2^444333856512 is an apocalyptic number.

444333856512 is a gapful number since it is divisible by the number (42) 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 444333856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781789120000).

444333856512 is an abundant number, since it is smaller than the sum of its proper divisors (1119244383488).

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

444333856512 is a wasteful number, since it uses less digits than its factorization.

444333856512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6901 (or 6873 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The spelling of 444333856512 in words is "four hundred forty-four billion, three hundred thirty-three million, eight hundred fifty-six thousand, five hundred twelve".