117217105616 has 80 divisors (see below), whose sum is σ = 246752956800. Its totient is φ = 53620707840.

The previous prime is 117217105601. The next prime is 117217105619. The reversal of 117217105616 is 616501712711.

It is a self number, because there is not a number n which added to its sum of digits gives 117217105616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117217105619) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15213221 + ... + 15220923.

It is an arithmetic number, because the mean of its divisors is an integer number (3084411960).

Almost surely, 2^117217105616 is an apocalyptic number.

117217105616 is a gapful number since it is divisible by the number (16) 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 117217105616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123376478400).

117217105616 is an abundant number, since it is smaller than the sum of its proper divisors (129535851184).

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

117217105616 is a wasteful number, since it uses less digits than its factorization.

117217105616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8364 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 38.

The spelling of 117217105616 in words is "one hundred seventeen billion, two hundred seventeen million, one hundred five thousand, six hundred sixteen".