48289548384 has 240 divisors, whose sum is σ = 177062409216. Its totient is φ = 12542688000.

The previous prime is 48289548361. The next prime is 48289548403. The reversal of 48289548384 is 48384598284.

48289548384 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 9 + 548 + 3 + 84 = 666.

It is a super-2 number, since 2×48289548384² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78609 + ... + 320559.

Almost surely, 2^48289548384 is an apocalyptic number.

48289548384 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 48289548384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88531204608).

48289548384 is an abundant number, since it is smaller than the sum of its proper divisors (128772860832).

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

48289548384 is a wasteful number, since it uses less digits than its factorization.

48289548384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241991 (or 241974 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The spelling of 48289548384 in words is "forty-eight billion, two hundred eighty-nine million, five hundred forty-eight thousand, three hundred eighty-four".