4949851412448 has 1152 divisors, whose sum is σ = 17364104110080. Its totient is φ = 1324343623680.

The previous prime is 4949851412437. The next prime is 4949851412459. The reversal of 4949851412448 is 8442141589494.

4949851412448 is a `hidden beast` number, since 4 + 9 + 4 + 98 + 514 + 1 + 24 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4949851412437) and next prime (4949851412459).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (53084160) is a multiple of the sum of its prime factors (2160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2454065136 + ... + 2454067152.

It is an arithmetic number, because the mean of its divisors is an integer number (15073007040).

Almost surely, 2^{4949851412448} is an apocalyptic number.

4949851412448 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 4949851412448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8682052055040).

4949851412448 is an abundant number, since it is smaller than the sum of its proper divisors (12414252697632).

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

4949851412448 is a wasteful number, since it uses less digits than its factorization.

4949851412448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2149 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 4949851412448 in words is "four trillion, nine hundred forty-nine billion, eight hundred fifty-one million, four hundred twelve thousand, four hundred forty-eight".