48339168 has 96 divisors (see below), whose sum is σ = 134830080. Its totient is φ = 15137280.

The previous prime is 48339163. The next prime is 48339191. The reversal of 48339168 is 86193384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (124416) is a multiple of the sum of its prime divisors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48339163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109893 + ... + 110331.

It is an arithmetic number, because the mean of its divisors is an integer number (1404480).

Almost surely, 2^48339168 is an apocalyptic number.

48339168 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 48339168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67415040).

48339168 is an abundant number, since it is smaller than the sum of its proper divisors (86490912).

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

48339168 is a wasteful number, since it uses less digits than its factorization.

48339168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 48339168 is about 6952.6374851563. The cubic root of 48339168 is about 364.2780952545.

The spelling of 48339168 in words is "forty-eight million, three hundred thirty-nine thousand, one hundred sixty-eight".