117116581729 has 9 divisors (see below), whose sum is σ = 136240443027. Its totient is φ = 100383588144.

The previous prime is 117116581711. The next prime is 117116581741. The reversal of 117116581729 is 927185611711.

It is a happy number.

The square root of 117116581729 is 342223.

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., 69418021729 + 47698560000 = 263473^2 + 218400^2 .

It is not a de Polignac number, because 117116581729 - 2⁵ = 117116581697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117116581789) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2371117 + ... + 2420005.

It is an arithmetic number, because the mean of its divisors is an integer number (15137827003).

Almost surely, 2^117116581729 is an apocalyptic number.

117116581729 is the 342223-rd square number.

117116581729 is the 171112-nd centered octagonal number.

It is an amenable number.

117116581729 is a deficient number, since it is larger than the sum of its proper divisors (19123861298).

117116581729 is an frugal number, since it uses more digits than its factorization.

117116581729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97792 (or 48896 counting only the distinct ones).

The product of its digits is 211680, while the sum is 49.

Multiplying 117116581729 by its sum of digits (49), we get a square (5738712504721 = 2395561²).

117116581729 divided by its sum of digits (49) gives a square (2390134321 = 48889²).

The spelling of 117116581729 in words is "one hundred seventeen billion, one hundred sixteen million, five hundred eighty-one thousand, seven hundred twenty-nine".