48174255648 has 144 divisors (see below), whose sum is σ = 146029829400. Its totient is φ = 15011831808.

The previous prime is 48174255629. The next prime is 48174255659. The reversal of 48174255648 is 84655247184.

48174255648 is a `hidden beast` number, since 4 + 8 + 1 + 7 + 42 + 556 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45825108624 + 2349147024 = 214068^2 + 48468^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 48174255594 and 48174255603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696486 + ... + 762522.

Almost surely, 2^48174255648 is an apocalyptic number.

48174255648 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 48174255648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73014914700).

48174255648 is an abundant number, since it is smaller than the sum of its proper divisors (97855573752).

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

48174255648 is a wasteful number, since it uses less digits than its factorization.

48174255648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66219 (or 66208 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 48174255648 in words is "forty-eight billion, one hundred seventy-four million, two hundred fifty-five thousand, six hundred forty-eight".