48457930752 has 768 divisors, whose sum is σ = 188697600000. Its totient is φ = 11904122880.

The previous prime is 48457930739. The next prime is 48457930777. The reversal of 48457930752 is 25703975484.

It is a happy number.

48457930752 is a `hidden beast` number, since 484 + 5 + 7 + 93 + 0 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80897749 + ... + 80898347.

It is an arithmetic number, because the mean of its divisors is an integer number (245700000).

Almost surely, 2^48457930752 is an apocalyptic number.

48457930752 is a gapful number since it is divisible by the number (42) 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 48457930752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800000).

48457930752 is an abundant number, since it is smaller than the sum of its proper divisors (140239669248).

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

48457930752 is a wasteful number, since it uses less digits than its factorization.

48457930752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 48457930752 in words is "forty-eight billion, four hundred fifty-seven million, nine hundred thirty thousand, seven hundred fifty-two".