48555648 has 96 divisors (see below), whose sum is σ = 141338340. Its totient is φ = 15998976.

The previous prime is 48555629. The next prime is 48555679. The reversal of 48555648 is 84655584.

48555648 is a `hidden beast` number, since 4 + 85 + 5 + 564 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44195904 + 4359744 = 6648^2 + 2088^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 129990 + ... + 130362.

Almost surely, 2^48555648 is an apocalyptic number.

48555648 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 48555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70669170).

48555648 is an abundant number, since it is smaller than the sum of its proper divisors (92782692).

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

48555648 is a wasteful number, since it uses less digits than its factorization.

48555648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 491 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 48555648 is about 6968.1882867787. The cubic root of 48555648 is about 364.8210744981.

The spelling of 48555648 in words is "forty-eight million, five hundred fifty-five thousand, six hundred forty-eight".