48084000000 has 252 divisors, whose sum is σ = 160004826912. Its totient is φ = 12819200000.

The previous prime is 48083999969. The next prime is 48084000001. The reversal of 48084000000 is 48084.

It is a super-3 number, since 3×48084000000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48084000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11997997 + ... + 12002003.

Almost surely, 2^48084000000 is an apocalyptic number.

48084000000 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 48084000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80002413456).

48084000000 is an abundant number, since it is smaller than the sum of its proper divisors (111920826912).

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

48084000000 is an frugal number, since it uses more digits than its factorization.

48084000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 48084000000 its reverse (48084), we get a palindrome (48084048084).

48084000000 divided by its reverse (48084) gives a 6-th power (1000000 = 10⁶).

The spelling of 48084000000 in words is "forty-eight billion, eighty-four million", and thus it is an aban number.