4903853125248 has 1536 divisors, whose sum is σ = 19774527252480. Its totient is φ = 1170505728000.

The previous prime is 4903853125219. The next prime is 4903853125279. The reversal of 4903853125248 is 8425213583094.

4903853125248 is a `hidden beast` number, since 4 + 9 + 0 + 3 + 85 + 31 + 2 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4903853125194 and 4903853125203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1750749448 + ... + 1750752248.

It is an arithmetic number, because the mean of its divisors is an integer number (12874041180).

Almost surely, 2^{4903853125248} is an apocalyptic number.

4903853125248 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 4903853125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9887263626240).

4903853125248 is an abundant number, since it is smaller than the sum of its proper divisors (14870674127232).

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

4903853125248 is a wasteful number, since it uses less digits than its factorization.

4903853125248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 4903853125248 in words is "four trillion, nine hundred three billion, eight hundred fifty-three million, one hundred twenty-five thousand, two hundred forty-eight".