8717251783968 has 1152 divisors, whose sum is σ = 35500844332800. Its totient is φ = 2049889959936.

The previous prime is 8717251783937. The next prime is 8717251783969. The reversal of 8717251783968 is 8693871527178.

It is a happy number.

8717251783968 is a `hidden beast` number, since 8 + 7 + 1 + 72 + 517 + 8 + 39 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8717251783896 and 8717251783905.

It is not an unprimeable number, because it can be changed into a prime (8717251783969) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177744346 + ... + 177793382.

It is an arithmetic number, because the mean of its divisors is an integer number (30816705150).

Almost surely, 2^{8717251783968} 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 8717251783968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17750422166400).

8717251783968 is an abundant number, since it is smaller than the sum of its proper divisors (26783592548832).

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

8717251783968 is a wasteful number, since it uses less digits than its factorization.

8717251783968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49119 (or 49098 counting only the distinct ones).

The product of its digits is 284497920, while the sum is 72.

The spelling of 8717251783968 in words is "eight trillion, seven hundred seventeen billion, two hundred fifty-one million, seven hundred eighty-three thousand, nine hundred sixty-eight".