48645387648 has 512 divisors, whose sum is σ = 169769779200. Its totient is φ = 13518766080.

The previous prime is 48645387641. The next prime is 48645387649. The reversal of 48645387648 is 84678354684.

48645387648 is a `hidden beast` number, since 48 + 6 + 453 + 87 + 64 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48645387641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127011265 + ... + 127011647.

It is an arithmetic number, because the mean of its divisors is an integer number (331581600).

Almost surely, 2^48645387648 is an apocalyptic number.

48645387648 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 48645387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84884889600).

48645387648 is an abundant number, since it is smaller than the sum of its proper divisors (121124391552).

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

48645387648 is a wasteful number, since it uses less digits than its factorization.

48645387648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 669 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 48645387648 in words is "forty-eight billion, six hundred forty-five million, three hundred eighty-seven thousand, six hundred forty-eight".