48384000000000 has 1440 divisors, whose sum is σ = 204799197778560. Its totient is φ = 11059200000000.

The previous prime is 48383999999947. The next prime is 48384000000001. The reversal of 48384000000000 is 48384.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×48384000000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48384000000001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6911999999997 + ... + 6912000000003.

It is an arithmetic number, because the mean of its divisors is an integer number (142221665124).

Almost surely, 2^{48384000000000} is an apocalyptic number.

48384000000000 is a gapful number since it is divisible by the number (40) 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 48384000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102399598889280).

48384000000000 is an abundant number, since it is smaller than the sum of its proper divisors (156415197778560).

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

48384000000000 is an frugal number, since it uses more digits than its factorization.

48384000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 48384000000000 its reverse (48384), we get a palindrome (48384000048384).

48384000000000 divided by its reverse (48384) gives a 9-th power (1000000000 = 10⁹).

The spelling of 48384000000000 in words is "forty-eight trillion, three hundred eighty-four billion", and thus it is an aban number.