48482168064 has 576 divisors, whose sum is σ = 155762611200. Its totient is φ = 13226803200.

The previous prime is 48482168057. The next prime is 48482168069. The reversal of 48482168064 is 46086128484.

It is a junction number, because it is equal to n+sod(n) for n = 48482167998 and 48482168016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48482168069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348792507 + ... + 348792645.

It is an arithmetic number, because the mean of its divisors is an integer number (270421200).

Almost surely, 2^48482168064 is an apocalyptic number.

48482168064 is a gapful number since it is divisible by the number (44) 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 48482168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77881305600).

48482168064 is an abundant number, since it is smaller than the sum of its proper divisors (107280443136).

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

48482168064 is a wasteful number, since it uses less digits than its factorization.

48482168064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 48482168064 in words is "forty-eight billion, four hundred eighty-two million, one hundred sixty-eight thousand, sixty-four".