48553435584 has 112 divisors (see below), whose sum is σ = 142795142400. Its totient is φ = 16178012928.

The previous prime is 48553435583. The next prime is 48553435591.

48553435584 is a `hidden beast` number, since 4 + 8 + 5 + 53 + 4 + 3 + 5 + 584 = 666.

48553435584 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×48553435584² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 48553435584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48553435583) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6505647 + ... + 6513105.

Almost surely, 2^48553435584 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 48553435584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71397571200).

48553435584 is an abundant number, since it is smaller than the sum of its proper divisors (94241706816).

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

48553435584 is a wasteful number, since it uses less digits than its factorization.

48553435584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11247 (or 11231 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

The spelling of 48553435584 in words is "forty-eight billion, five hundred fifty-three million, four hundred thirty-five thousand, five hundred eighty-four".