48141648 has 40 divisors (see below), whose sum is σ = 138185600. Its totient is φ = 16047072.

The previous prime is 48141647. The next prime is 48141661. The reversal of 48141648 is 84614184.

48141648 is a `hidden beast` number, since 4 + 8 + 1 + 4 + 1 + 648 = 666.

48141648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48141641) 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 7 ways as a sum of consecutive naturals, for example, 55288 + ... + 56151.

It is an arithmetic number, because the mean of its divisors is an integer number (3454640).

Almost surely, 2^48141648 is an apocalyptic number.

48141648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48141648 is an abundant number, since it is smaller than the sum of its proper divisors (90043952).

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

48141648 is a wasteful number, since it uses less digits than its factorization.

48141648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111456 (or 111444 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 48141648 is about 6938.4182635526. The cubic root of 48141648 is about 363.7812556839.

The spelling of 48141648 in words is "forty-eight million, one hundred forty-one thousand, six hundred forty-eight".