9849848502816 has 360 divisors, whose sum is σ = 33705511874496. Its totient is φ = 2813583548160.

The previous prime is 9849848502811. The next prime is 9849848502877. The reversal of 9849848502816 is 6182058489489.

9849848502816 is a `hidden beast` number, since 9 + 8 + 498 + 4 + 8 + 50 + 2 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (9849848502811) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 872666325 + ... + 872677611.

Almost surely, 2^{9849848502816} is an apocalyptic number.

9849848502816 is a gapful number since it is divisible by the number (96) 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 9849848502816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16852755937248).

9849848502816 is an abundant number, since it is smaller than the sum of its proper divisors (23855663371680).

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

9849848502816 is a wasteful number, since it uses less digits than its factorization.

9849848502816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18194 (or 18170 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 9849848502816 in words is "nine trillion, eight hundred forty-nine billion, eight hundred forty-eight million, five hundred two thousand, eight hundred sixteen".