4838719131648 has 312 divisors, whose sum is σ = 14255603294400. Its totient is φ = 1580897206272.

The previous prime is 4838719131647. The next prime is 4838719131667. The reversal of 4838719131648 is 8461319178384.

4838719131648 is a `hidden beast` number, since 4 + 8 + 387 + 1 + 91 + 3 + 164 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4838719131643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780813286 + ... + 780819482.

It is an arithmetic number, because the mean of its divisors is an integer number (45691036200).

Almost surely, 2^{4838719131648} is an apocalyptic number.

4838719131648 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 4838719131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7127801647200).

4838719131648 is an abundant number, since it is smaller than the sum of its proper divisors (9416884162752).

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

4838719131648 is a wasteful number, since it uses less digits than its factorization.

4838719131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6620 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 4838719131648 in words is "four trillion, eight hundred thirty-eight billion, seven hundred nineteen million, one hundred thirty-one thousand, six hundred forty-eight".