48465648 has 320 divisors, whose sum is σ = 182845440. Its totient is φ = 11923200.

The previous prime is 48465629. The next prime is 48465661. The reversal of 48465648 is 84656484.

48465648 is a `hidden beast` number, since 4 + 84 + 6 + 564 + 8 = 666.

48465648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48465648³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1031161 + ... + 1031207.

It is an arithmetic number, because the mean of its divisors is an integer number (571392).

Almost surely, 2^48465648 is an apocalyptic number.

48465648 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 48465648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91422720).

48465648 is an abundant number, since it is smaller than the sum of its proper divisors (134379792).

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

48465648 is a wasteful number, since it uses less digits than its factorization.

48465648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 48465648 is about 6961.7273718525. The cubic root of 48465648 is about 364.5955311932.

The spelling of 48465648 in words is "forty-eight million, four hundred sixty-five thousand, six hundred forty-eight".