48044448000 has 576 divisors, whose sum is σ = 187798141440. Its totient is φ = 12054528000.

The previous prime is 48044447981. The next prime is 48044448037. The reversal of 48044448000 is 84444084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14686365 + ... + 14689635.

It is an arithmetic number, because the mean of its divisors is an integer number (326038440).

Almost surely, 2^48044448000 is an apocalyptic number.

48044448000 is a gapful number since it is divisible by the number (40) 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 48044448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93899070720).

48044448000 is an abundant number, since it is smaller than the sum of its proper divisors (139753693440).

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

48044448000 is a wasteful number, since it uses less digits than its factorization.

48044448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 48044448000 in words is "forty-eight billion, forty-four million, four hundred forty-eight thousand".