48534688224 has 288 divisors, whose sum is σ = 156015175680. Its totient is φ = 14179046400.

The previous prime is 48534688211. The next prime is 48534688249. The reversal of 48534688224 is 42288643584.

48534688224 is a `hidden beast` number, since 4 + 8 + 534 + 6 + 8 + 82 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×48534688224² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31131157 + ... + 31132715.

It is an arithmetic number, because the mean of its divisors is an integer number (541719360).

Almost surely, 2^48534688224 is an apocalyptic number.

48534688224 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 48534688224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78007587840).

48534688224 is an abundant number, since it is smaller than the sum of its proper divisors (107480487456).

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

48534688224 is a wasteful number, since it uses less digits than its factorization.

48534688224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1923 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 48534688224 in words is "forty-eight billion, five hundred thirty-four million, six hundred eighty-eight thousand, two hundred twenty-four".