48048000000 has 1232 divisors, whose sum is σ = 214932248832. Its totient is φ = 9216000000.

The previous prime is 48047999977. The next prime is 48048000001. The reversal of 48048000000 is 84084.

It is a tau number, because it is divible by the number of its divisors (1232).

It is a super-2 number, since 2×48048000000² (a number of 22 digits) contains 22 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 (48048000001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3695999994 + ... + 3696000006.

Almost surely, 2^48048000000 is an apocalyptic number.

48048000000 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 48048000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107466124416).

48048000000 is an abundant number, since it is smaller than the sum of its proper divisors (166884248832).

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

48048000000 is an equidigital number, since it uses as much as digits as its factorization.

48048000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

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

Adding to 48048000000 its reverse (84084), we get a palindrome (48048084084).

The spelling of 48048000000 in words is "forty-eight billion, forty-eight million", and thus it is an aban number and an uban number.