48444138110304 has 288 divisors, whose sum is σ = 139414255239168. Its totient is φ = 15955987200000.

The previous prime is 48444138110297. The next prime is 48444138110309. The reversal of 48444138110304 is 40301183144484.

48444138110304 is a `hidden beast` number, since 48 + 444 + 138 + 1 + 1 + 0 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 48444138110304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48444138110309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5288079484 + ... + 5288088644.

It is an arithmetic number, because the mean of its divisors is an integer number (484077275136).

Almost surely, 2^{48444138110304} 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 48444138110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69707127619584).

48444138110304 is an abundant number, since it is smaller than the sum of its proper divisors (90970117128864).

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

48444138110304 is a wasteful number, since it uses less digits than its factorization.

48444138110304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10002 (or 9991 counting only the distinct ones).

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

The spelling of 48444138110304 in words is "forty-eight trillion, four hundred forty-four billion, one hundred thirty-eight million, one hundred ten thousand, three hundred four".