444756231375144 has 384 divisors, whose sum is σ = 1224719521200000. Its totient is φ = 134506909974528.

The previous prime is 444756231375089. The next prime is 444756231375151. The reversal of 444756231375144 is 441573132657444.

It is a super-2 number, since 2×444756231375144² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126028967172 + ... + 126028970700.

It is an arithmetic number, because the mean of its divisors is an integer number (3189373753125).

Almost surely, 2^{444756231375144} 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 444756231375144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612359760600000).

444756231375144 is an abundant number, since it is smaller than the sum of its proper divisors (779963289824856).

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

444756231375144 is a wasteful number, since it uses less digits than its factorization.

444756231375144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4972 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 60.

The spelling of 444756231375144 in words is "four hundred forty-four trillion, seven hundred fifty-six billion, two hundred thirty-one million, three hundred seventy-five thousand, one hundred forty-four".