117688105249 has 27 divisors (see below), whose sum is σ = 140134250739. Its totient is φ = 98718082320.

The previous prime is 117688105247. The next prime is 117688105303. The reversal of 117688105249 is 942501886711.

The square root of 117688105249 is 343057.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17409483025 + 100278622224 = 131945^2 + 316668^2 .

It is not a de Polignac number, because 117688105249 - 2¹ = 117688105247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 117688105196 and 117688105205.

It is not an unprimeable number, because it can be changed into a prime (117688105247) 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 26 ways as a sum of consecutive naturals, for example, 49055952 + ... + 49058350.

Almost surely, 2^117688105249 is an apocalyptic number.

117688105249 is the 343057-th square number.

117688105249 is the 171529-th centered octagonal number.

It is an amenable number.

117688105249 is a deficient number, since it is larger than the sum of its proper divisors (22446145490).

117688105249 is an frugal number, since it uses more digits than its factorization.

117688105249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 52.

The spelling of 117688105249 in words is "one hundred seventeen billion, six hundred eighty-eight million, one hundred five thousand, two hundred forty-nine".