48257524224 has 800 divisors, whose sum is σ = 186882622080. Its totient is φ = 12039487488.

The previous prime is 48257524141. The next prime is 48257524229. The reversal of 48257524224 is 42242575284.

It is a self number, because there is not a number n which added to its sum of digits gives 48257524224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48257524229) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71704752 + ... + 71705424.

Almost surely, 2^48257524224 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 48257524224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93441311040).

48257524224 is an abundant number, since it is smaller than the sum of its proper divisors (138625097856).

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

48257524224 is a wasteful number, since it uses less digits than its factorization.

48257524224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 717 counting only the distinct ones).

The product of its digits is 1433600, while the sum is 45.

The spelling of 48257524224 in words is "forty-eight billion, two hundred fifty-seven million, five hundred twenty-four thousand, two hundred twenty-four".