10117717664 has 192 divisors, whose sum is σ = 23061024000. Its totient is φ = 4342947840.

The previous prime is 10117717657. The next prime is 10117717667. The reversal of 10117717664 is 46671771101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10117717667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24737492 + ... + 24737900.

It is an arithmetic number, because the mean of its divisors is an integer number (120109500).

Almost surely, 2^10117717664 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 10117717664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11530512000).

10117717664 is an abundant number, since it is smaller than the sum of its proper divisors (12943306336).

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

10117717664 is a wasteful number, since it uses less digits than its factorization.

10117717664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 41.

The spelling of 10117717664 in words is "ten billion, one hundred seventeen million, seven hundred seventeen thousand, six hundred sixty-four".