117318217680 has 120 divisors (see below), whose sum is σ = 404642250792. Its totient is φ = 30439314432.

The previous prime is 117318217657. The next prime is 117318217699. The reversal of 117318217680 is 86712813711.

117318217680 is a `hidden beast` number, since 117 + 318 + 217 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64195343424 + 53122874256 = 253368^2 + 230484^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×117318217680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2175279 + ... + 2228558.

Almost surely, 2^117318217680 is an apocalyptic number.

117318217680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117318217680 is an abundant number, since it is smaller than the sum of its proper divisors (287324033112).

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

117318217680 is a wasteful number, since it uses less digits than its factorization.

117318217680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403893 (or 4403884 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 117318217680 in words is "one hundred seventeen billion, three hundred eighteen million, two hundred seventeen thousand, six hundred eighty".