48825606368 has 288 divisors, whose sum is σ = 126183718080. Its totient is φ = 18186854400.

The previous prime is 48825606359. The next prime is 48825606439. The reversal of 48825606368 is 86360652884.

48825606368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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, 58896578 + ... + 58897406.

It is an arithmetic number, because the mean of its divisors is an integer number (438137910).

Almost surely, 2^48825606368 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 48825606368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63091859040).

48825606368 is an abundant number, since it is smaller than the sum of its proper divisors (77358111712).

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

48825606368 is a wasteful number, since it uses less digits than its factorization.

48825606368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 48825606368 in words is "forty-eight billion, eight hundred twenty-five million, six hundred six thousand, three hundred sixty-eight".