48923602489632 has 288 divisors, whose sum is σ = 144008164210176. Its totient is φ = 14521232793600.

The previous prime is 48923602489603. The next prime is 48923602489649. The reversal of 48923602489632 is 23698420632984.

48923602489632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157266082 + ... + 157576862.

It is an arithmetic number, because the mean of its divisors is an integer number (500028347952).

Almost surely, 2^{48923602489632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48923602489632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72004082105088).

48923602489632 is an abundant number, since it is smaller than the sum of its proper divisors (95084561720544).

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

48923602489632 is a wasteful number, since it uses less digits than its factorization.

48923602489632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311164 (or 311143 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 66.

The spelling of 48923602489632 in words is "forty-eight trillion, nine hundred twenty-three billion, six hundred two million, four hundred eighty-nine thousand, six hundred thirty-two".