48731719968 has 144 divisors (see below), whose sum is σ = 140871800160. Its totient is φ = 15976147968.

The previous prime is 48731719961. The next prime is 48731719969. The reversal of 48731719968 is 86991713784.

48731719968 is a `hidden beast` number, since 487 + 3 + 1 + 7 + 1 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (48731719961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15184348 + ... + 15187556.

It is an arithmetic number, because the mean of its divisors is an integer number (978276390).

Almost surely, 2^48731719968 is an apocalyptic number.

48731719968 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 48731719968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70435900080).

48731719968 is an abundant number, since it is smaller than the sum of its proper divisors (92140080192).

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

48731719968 is a wasteful number, since it uses less digits than its factorization.

48731719968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4068 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The spelling of 48731719968 in words is "forty-eight billion, seven hundred thirty-one million, seven hundred nineteen thousand, nine hundred sixty-eight".