6988731853344 has 192 divisors, whose sum is σ = 18561521664000. Its totient is φ = 2302299417600.

The previous prime is 6988731853331. The next prime is 6988731853357. The reversal of 6988731853344 is 4433581378896.

It is an interprime number because it is at equal distance from previous prime (6988731853331) and next prime (6988731853357).

It is a super-2 number, since 2×6988731853344² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6394081662 + ... + 6394082754.

It is an arithmetic number, because the mean of its divisors is an integer number (96674592000).

Almost surely, 2^{6988731853344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6988731853344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9280760832000).

6988731853344 is an abundant number, since it is smaller than the sum of its proper divisors (11572789810656).

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

6988731853344 is a wasteful number, since it uses less digits than its factorization.

6988731853344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2775 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 69.

The spelling of 6988731853344 in words is "six trillion, nine hundred eighty-eight billion, seven hundred thirty-one million, eight hundred fifty-three thousand, three hundred forty-four".