48365568 has 108 divisors (see below), whose sum is σ = 143130078. Its totient is φ = 15728640.

The previous prime is 48365563. The next prime is 48365579. The reversal of 48365568 is 86556384.

48365568 is a `hidden beast` number, since 4 + 83 + 6 + 5 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47775744 + 589824 = 6912^2 + 768^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (48365563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1179628 + ... + 1179668.

Almost surely, 2^48365568 is an apocalyptic number.

48365568 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 48365568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71565039).

48365568 is an abundant number, since it is smaller than the sum of its proper divisors (94764510).

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

48365568 is an frugal number, since it uses more digits than its factorization.

48365568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 48365568 is about 6954.5357860895. The cubic root of 48365568 is about 364.3443989161.

It can be divided in two parts, 4836 and 5568, that added together give a square (10404 = 102²).

The spelling of 48365568 in words is "forty-eight million, three hundred sixty-five thousand, five hundred sixty-eight".