48256317648 has 800 divisors, whose sum is σ = 189439303680. Its totient is φ = 11477376000.

The previous prime is 48256317607. The next prime is 48256317653. The reversal of 48256317648 is 84671365284.

It is a happy number.

48256317648 is a `hidden beast` number, since 4 + 8 + 2 + 563 + 1 + 76 + 4 + 8 = 666.

48256317648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48256317594 and 48256317603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58777078 + ... + 58777898.

Almost surely, 2^48256317648 is an apocalyptic number.

48256317648 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 48256317648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94719651840).

48256317648 is an abundant number, since it is smaller than the sum of its proper divisors (141182986032).

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

48256317648 is a wasteful number, since it uses less digits than its factorization.

48256317648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 894 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 48256317648 in words is "forty-eight billion, two hundred fifty-six million, three hundred seventeen thousand, six hundred forty-eight".