48220584048 has 720 divisors, whose sum is σ = 181301833440. Its totient is φ = 11857563648.

The previous prime is 48220584037. The next prime is 48220584053. The reversal of 48220584048 is 84048502284.

48220584048 is a `hidden beast` number, since 4 + 8 + 2 + 20 + 584 + 0 + 48 = 666.

48220584048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 48220583994 and 48220584012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 450659611 + ... + 450659717.

It is an arithmetic number, because the mean of its divisors is an integer number (251808102).

Almost surely, 2^48220584048 is an apocalyptic number.

48220584048 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 48220584048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90650916720).

48220584048 is an abundant number, since it is smaller than the sum of its proper divisors (133081249392).

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

48220584048 is a wasteful number, since it uses less digits than its factorization.

48220584048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 48220584048 in words is "forty-eight billion, two hundred twenty million, five hundred eighty-four thousand, forty-eight".