8409317769216 has 1944 divisors, whose sum is σ = 33155796308544. Its totient is φ = 2033335664640.

The previous prime is 8409317769143. The next prime is 8409317769257. The reversal of 8409317769216 is 6129677139048.

8409317769216 is a `hidden beast` number, since 8 + 40 + 9 + 317 + 7 + 69 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 271268315121 + ... + 271268315151.

It is an arithmetic number, because the mean of its divisors is an integer number (17055450776).

Almost surely, 2^{8409317769216} 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 8409317769216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16577898154272).

8409317769216 is an abundant number, since it is smaller than the sum of its proper divisors (24746478539328).

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

8409317769216 is a wasteful number, since it uses less digits than its factorization.

8409317769216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 8409317769216 in words is "eight trillion, four hundred nine billion, three hundred seventeen million, seven hundred sixty-nine thousand, two hundred sixteen".