48347519075328 has 352 divisors, whose sum is σ = 143912698841088. Its totient is φ = 14304787660800.

The previous prime is 48347519075311. The next prime is 48347519075447. The reversal of 48347519075328 is 82357091574384.

48347519075328 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668606151 + ... + 668678457.

Almost surely, 2^{48347519075328} is an apocalyptic number.

48347519075328 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 48347519075328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71956349420544).

48347519075328 is an abundant number, since it is smaller than the sum of its proper divisors (95565179765760).

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

48347519075328 is a wasteful number, since it uses less digits than its factorization.

48347519075328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72809 (or 72791 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 48347519075328 in words is "forty-eight trillion, three hundred forty-seven billion, five hundred nineteen million, seventy-five thousand, three hundred twenty-eight".