48300048000 has 192 divisors, whose sum is σ = 173458064520. Its totient is φ = 12879974400.

The previous prime is 48300047977. The next prime is 48300048023. The reversal of 48300048000 is 84000384.

48300048000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48300047977) and next prime (48300048023).

It can be written as a sum of positive squares in 4 ways, for example, as 8130268224 + 40169779776 = 90168^2 + 200424^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23709 + ... + 311708.

Almost surely, 2^48300048000 is an apocalyptic number.

48300048000 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 48300048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86729032260).

48300048000 is an abundant number, since it is smaller than the sum of its proper divisors (125158016520).

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

48300048000 is a wasteful number, since it uses less digits than its factorization.

48300048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335452 (or 335427 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 48300048000 its reverse (84000384), we get a palindrome (48384048384).

The spelling of 48300048000 in words is "forty-eight billion, three hundred million, forty-eight thousand".