48741205248 has 144 divisors (see below), whose sum is σ = 151722849600. Its totient is φ = 15391918080.

The previous prime is 48741205241. The next prime is 48741205273. The reversal of 48741205248 is 84250214784.

48741205248 is a `hidden beast` number, since 4 + 87 + 41 + 2 + 0 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48741205241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54243 + ... + 316898.

It is an arithmetic number, because the mean of its divisors is an integer number (1053630900).

Almost surely, 2^48741205248 is an apocalyptic number.

48741205248 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 48741205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75861424800).

48741205248 is an abundant number, since it is smaller than the sum of its proper divisors (102981644352).

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

48741205248 is a wasteful number, since it uses less digits than its factorization.

48741205248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371185 (or 371165 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 48741205248 in words is "forty-eight billion, seven hundred forty-one million, two hundred five thousand, two hundred forty-eight".