48540533184 has 336 divisors, whose sum is σ = 163954443744. Its totient is φ = 13536460800.

The previous prime is 48540533141. The next prime is 48540533189. The reversal of 48540533184 is 48133504584.

48540533184 is a `hidden beast` number, since 48 + 540 + 53 + 3 + 18 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48540533189) 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 47 ways as a sum of consecutive naturals, for example, 35664664 + ... + 35666024.

It is an arithmetic number, because the mean of its divisors is an integer number (487959654).

Almost surely, 2^48540533184 is an apocalyptic number.

48540533184 is a gapful number since it is divisible by the number (44) 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 48540533184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81977221872).

48540533184 is an abundant number, since it is smaller than the sum of its proper divisors (115413910560).

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

48540533184 is a wasteful number, since it uses less digits than its factorization.

48540533184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 48540533184 in words is "forty-eight billion, five hundred forty million, five hundred thirty-three thousand, one hundred eighty-four".