9917038651688 has 192 divisors, whose sum is σ = 22330961902080. Its totient is φ = 4115029564800.

The previous prime is 9917038651591. The next prime is 9917038651703. The reversal of 9917038651688 is 8861568307199.

It is a Cunningham number, because it is equal to 3149133²-1.

It is a Harshad number since it is a multiple of its sum of digits (71).

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 47 ways as a sum of consecutive naturals, for example, 617222231 + ... + 617238297.

It is an arithmetic number, because the mean of its divisors is an integer number (116307093240).

Almost surely, 2^{9917038651688} is an apocalyptic number.

9917038651688 is a gapful number since it is divisible by the number (98) 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 9917038651688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11165480951040).

9917038651688 is an abundant number, since it is smaller than the sum of its proper divisors (12413923250392).

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

9917038651688 is a wasteful number, since it uses less digits than its factorization.

9917038651688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16556 (or 16545 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 71.

The spelling of 9917038651688 in words is "nine trillion, nine hundred seventeen billion, thirty-eight million, six hundred fifty-one thousand, six hundred eighty-eight".