48288847548096 has 336 divisors, whose sum is σ = 144069891883008. Its totient is φ = 15447017779200.

The previous prime is 48288847548089. The next prime is 48288847548131. The reversal of 48288847548096 is 69084574888284.

It is a happy number.

48288847548096 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 8 + 8 + 47 + 5 + 480 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6696549931 + ... + 6696557141.

It is an arithmetic number, because the mean of its divisors is an integer number (428779440128).

Almost surely, 2^{48288847548096} 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 48288847548096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72034945941504).

48288847548096 is an abundant number, since it is smaller than the sum of its proper divisors (95781044334912).

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

48288847548096 is a wasteful number, since it uses less digits than its factorization.

48288847548096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10340 (or 10327 counting only the distinct ones).

The product of its (nonzero) digits is 7927234560, while the sum is 81.

The spelling of 48288847548096 in words is "forty-eight trillion, two hundred eighty-eight billion, eight hundred forty-seven million, five hundred forty-eight thousand, ninety-six".