48327354736128 has 1200 divisors, whose sum is σ = 167228258313600. Its totient is φ = 13846306406400.

The previous prime is 48327354736123. The next prime is 48327354736169. The reversal of 48327354736128 is 82163745372384.

48327354736128 is a `hidden beast` number, since 4 + 8 + 3 + 2 + 7 + 3 + 5 + 4 + 7 + 3 + 612 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48327354736123) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7856825853 + ... + 7856832003.

It is an arithmetic number, because the mean of its divisors is an integer number (139356881928).

Almost surely, 2^{48327354736128} is an apocalyptic number.

48327354736128 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 48327354736128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83614129156800).

48327354736128 is an abundant number, since it is smaller than the sum of its proper divisors (118900903577472).

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

48327354736128 is a wasteful number, since it uses less digits than its factorization.

48327354736128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6285 (or 6247 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 48327354736128 in words is "forty-eight trillion, three hundred twenty-seven billion, three hundred fifty-four million, seven hundred thirty-six thousand, one hundred twenty-eight".