4838209460448 has 192 divisors, whose sum is σ = 15717503273472. Its totient is φ = 1268961085440.

The previous prime is 4838209460437. The next prime is 4838209460471. The reversal of 4838209460448 is 8440649028384.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4838209460391 and 4838209460400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51315 + ... + 3111117.

It is an arithmetic number, because the mean of its divisors is an integer number (81861996216).

Almost surely, 2^{4838209460448} is an apocalyptic number.

4838209460448 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 4838209460448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7858751636736).

4838209460448 is an abundant number, since it is smaller than the sum of its proper divisors (10879293813024).

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

4838209460448 is a wasteful number, since it uses less digits than its factorization.

4838209460448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060017 (or 3060009 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 60.

The spelling of 4838209460448 in words is "four trillion, eight hundred thirty-eight billion, two hundred nine million, four hundred sixty thousand, four hundred forty-eight".