444123709056 has 192 divisors, whose sum is σ = 1313891790120. Its totient is φ = 143893241856.

The previous prime is 444123709039. The next prime is 444123709097. The reversal of 444123709056 is 650907321444.

444123709056 is a `hidden beast` number, since 4 + 441 + 2 + 3 + 70 + 90 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 444035649600 + 88059456 = 666360^2 + 9384^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×444123709056² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46583266 + ... + 46592798.

Almost surely, 2^444123709056 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 444123709056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656945895060).

444123709056 is an abundant number, since it is smaller than the sum of its proper divisors (869768081064).

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

444123709056 is a wasteful number, since it uses less digits than its factorization.

444123709056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10683 (or 10668 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 444123709056 in words is "four hundred forty-four billion, one hundred twenty-three million, seven hundred nine thousand, fifty-six".