44481232211328 has 256 divisors, whose sum is σ = 143615063232000. Its totient is φ = 13441610741760.

The previous prime is 44481232211279. The next prime is 44481232211329. The reversal of 44481232211328 is 82311223218444.

44481232211328 is a `hidden beast` number, since 4 + 4 + 4 + 81 + 2 + 32 + 211 + 328 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44481232211329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12018126 + ... + 15277362.

It is an arithmetic number, because the mean of its divisors is an integer number (560996340750).

Almost surely, 2^{44481232211328} is an apocalyptic number.

44481232211328 is a gapful number since it is divisible by the number (48) 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 44481232211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71807531616000).

44481232211328 is an abundant number, since it is smaller than the sum of its proper divisors (99133831020672).

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

44481232211328 is a wasteful number, since it uses less digits than its factorization.

44481232211328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259630 (or 3259612 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 44481232211328 in words is "forty-four trillion, four hundred eighty-one billion, two hundred thirty-two million, two hundred eleven thousand, three hundred twenty-eight".