48932118144 has 960 divisors, whose sum is σ = 189099187200. Its totient is φ = 12436623360.

The previous prime is 48932118139. The next prime is 48932118167. The reversal of 48932118144 is 44181123984.

48932118144 is a `hidden beast` number, since 489 + 3 + 21 + 1 + 8 + 144 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48932118144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 204736777 + ... + 204737015.

It is an arithmetic number, because the mean of its divisors is an integer number (196978320).

Almost surely, 2^48932118144 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 48932118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94549593600).

48932118144 is an abundant number, since it is smaller than the sum of its proper divisors (140167069056).

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

48932118144 is a wasteful number, since it uses less digits than its factorization.

48932118144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 295 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 48932118144 in words is "forty-eight billion, nine hundred thirty-two million, one hundred eighteen thousand, one hundred forty-four".