48818016 has 216 divisors, whose sum is σ = 161867160. Its totient is φ = 13897728.

The previous prime is 48817997. The next prime is 48818017. The reversal of 48818016 is 61081884.

48818016 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48818017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 827395 + ... + 827453.

It is an arithmetic number, because the mean of its divisors is an integer number (749385).

Almost surely, 2^48818016 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 48818016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80933580).

48818016 is an abundant number, since it is smaller than the sum of its proper divisors (113049144).

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

48818016 is a wasteful number, since it uses less digits than its factorization.

48818016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 48818016 is about 6986.9890510863. The cubic root of 48818016 is about 365.4769919450.

The spelling of 48818016 in words is "forty-eight million, eight hundred eighteen thousand, sixteen".