48879268224 has 192 divisors, whose sum is σ = 141143471040. Its totient is φ = 14976589824.

The previous prime is 48879268223. The next prime is 48879268247. The reversal of 48879268224 is 42286297884.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×48879268224² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48879268223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4766847 + ... + 4777089.

It is an arithmetic number, because the mean of its divisors is an integer number (735122245).

Almost surely, 2^48879268224 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 48879268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70571735520).

48879268224 is an abundant number, since it is smaller than the sum of its proper divisors (92264202816).

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

48879268224 is a wasteful number, since it uses less digits than its factorization.

48879268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10337 (or 10308 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 60.

The spelling of 48879268224 in words is "forty-eight billion, eight hundred seventy-nine million, two hundred sixty-eight thousand, two hundred twenty-four".