9717077172816 has 180 divisors, whose sum is σ = 29750689680348. Its totient is φ = 2959045779456.

The previous prime is 9717077172797. The next prime is 9717077172823. The reversal of 9717077172816 is 6182717707179.

It can be written as a sum of positive squares in 6 ways, for example, as 108441124416 + 9608636048400 = 329304^2 + 3099780^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 302406 + ... + 4418778.

Almost surely, 2^{9717077172816} 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 9717077172816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14875344840174).

9717077172816 is an abundant number, since it is smaller than the sum of its proper divisors (20033612507532).

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

9717077172816 is a wasteful number, since it uses less digits than its factorization.

9717077172816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116510 (or 4116488 counting only the distinct ones).

The product of its (nonzero) digits is 14521248, while the sum is 63.

The spelling of 9717077172816 in words is "nine trillion, seven hundred seventeen billion, seventy-seven million, one hundred seventy-two thousand, eight hundred sixteen".