48705168 has 80 divisors (see below), whose sum is σ = 132598656. Its totient is φ = 15375360.

The previous prime is 48705127. The next prime is 48705179. The reversal of 48705168 is 86150784.

48705168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 173188 + ... + 173468.

Almost surely, 2^48705168 is an apocalyptic number.

48705168 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 48705168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66299328).

48705168 is an abundant number, since it is smaller than the sum of its proper divisors (83893488).

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

48705168 is a wasteful number, since it uses less digits than its factorization.

48705168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 48705168 is about 6978.9087972261. The cubic root of 48705168 is about 365.1951617841.

The spelling of 48705168 in words is "forty-eight million, seven hundred five thousand, one hundred sixty-eight".