48460133088 has 288 divisors, whose sum is σ = 156549425760. Its totient is φ = 14677770240.

The previous prime is 48460133039. The next prime is 48460133119. The reversal of 48460133088 is 88033106484.

48460133088 is a `hidden beast` number, since 4 + 8 + 4 + 601 + 3 + 30 + 8 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3827248 + ... + 3839888.

It is an arithmetic number, because the mean of its divisors is an integer number (543574395).

Almost surely, 2^48460133088 is an apocalyptic number.

48460133088 is a gapful number since it is divisible by the number (48) 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 48460133088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78274712880).

48460133088 is an abundant number, since it is smaller than the sum of its proper divisors (108089292672).

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

48460133088 is a wasteful number, since it uses less digits than its factorization.

48460133088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12712 (or 12692 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 48460133088 in words is "forty-eight billion, four hundred sixty million, one hundred thirty-three thousand, eighty-eight".