48289734768 has 160 divisors (see below), whose sum is σ = 138883825152. Its totient is φ = 14335488000.

The previous prime is 48289734733. The next prime is 48289734797. The reversal of 48289734768 is 86743798284.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 48289734699 and 48289734708.

It is a congruent number.

It is an unprimeable number.

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, 5815996 + ... + 5824292.

Almost surely, 2^48289734768 is an apocalyptic number.

48289734768 is a gapful number since it is divisible by the number (48) 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 48289734768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69441912576).

48289734768 is an abundant number, since it is smaller than the sum of its proper divisors (90594090384).

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

48289734768 is a wasteful number, since it uses less digits than its factorization.

48289734768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8543 (or 8537 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 66.

The spelling of 48289734768 in words is "forty-eight billion, two hundred eighty-nine million, seven hundred thirty-four thousand, seven hundred sixty-eight".