9718013874816 has 320 divisors, whose sum is σ = 32784553216800. Its totient is φ = 2832780625920.

The previous prime is 9718013874787. The next prime is 9718013874817. The reversal of 9718013874816 is 6184783108179.

9718013874816 is a `hidden beast` number, since 9 + 7 + 18 + 0 + 138 + 7 + 481 + 6 = 666.

It is a super-2 number, since 2×9718013874816² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9718013874817) 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 39 ways as a sum of consecutive naturals, for example, 663511 + ... + 4458281.

Almost surely, 2^{9718013874816} is an apocalyptic number.

9718013874816 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 9718013874816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392276608400).

9718013874816 is an abundant number, since it is smaller than the sum of its proper divisors (23066539341984).

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

9718013874816 is a wasteful number, since it uses less digits than its factorization.

9718013874816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794829 (or 3794808 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 9718013874816 in words is "nine trillion, seven hundred eighteen billion, thirteen million, eight hundred seventy-four thousand, eight hundred sixteen".