4848046400000 has 480 divisors, whose sum is σ = 12923211392784. Its totient is φ = 1810432000000.

The previous prime is 4848046399907. The next prime is 4848046400009. The reversal of 4848046400000 is 46408484.

It can be written as a sum of positive squares in 24 ways, for example, as 4553136580864 + 294909819136 = 2133808^2 + 543056^2 .

It is not an unprimeable number, because it can be changed into a prime (4848046400009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3726399350 + ... + 3726400650.

Almost surely, 2^{4848046400000} is an apocalyptic number.

4848046400000 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 4848046400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461605696392).

4848046400000 is an abundant number, since it is smaller than the sum of its proper divisors (8075164992784).

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

4848046400000 is an equidigital number, since it uses as much as digits as its factorization.

4848046400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The spelling of 4848046400000 in words is "four trillion, eight hundred forty-eight billion, forty-six million, four hundred thousand".