444353868504 has 384 divisors, whose sum is σ = 1514350656000. Its totient is φ = 116964207360.

The previous prime is 444353868503. The next prime is 444353868521. The reversal of 444353868504 is 405868353444.

444353868504 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 53 + 86 + 8 + 504 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444353868503) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 221843167 + ... + 221845169.

It is an arithmetic number, because the mean of its divisors is an integer number (3943621500).

Almost surely, 2^444353868504 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 444353868504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757175328000).

444353868504 is an abundant number, since it is smaller than the sum of its proper divisors (1069996787496).

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

444353868504 is a wasteful number, since it uses less digits than its factorization.

444353868504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 444353868504 in words is "four hundred forty-four billion, three hundred fifty-three million, eight hundred sixty-eight thousand, five hundred four".