48231128160 has 192 divisors, whose sum is σ = 169454799360. Its totient is φ = 12812428800.

The previous prime is 48231128147. The next prime is 48231128161. The reversal of 48231128160 is 6182113284.

48231128160 is a `hidden beast` number, since 4 + 8 + 2 + 311 + 281 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48231128161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1114935 + ... + 1157385.

It is an arithmetic number, because the mean of its divisors is an integer number (882577080).

Almost surely, 2^48231128160 is an apocalyptic number.

48231128160 is a gapful number since it is divisible by the number (40) 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 48231128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84727399680).

48231128160 is an abundant number, since it is smaller than the sum of its proper divisors (121223671200).

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

48231128160 is a wasteful number, since it uses less digits than its factorization.

48231128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42738 (or 42724 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 48231128160 in words is "forty-eight billion, two hundred thirty-one million, one hundred twenty-eight thousand, one hundred sixty".