117217584463849 has 9 divisors (see below), whose sum is σ = 119171357281431. Its totient is φ = 115295335116120.

The previous prime is 117217584463799. The next prime is 117217584463873. The reversal of 117217584463849 is 948364485712711.

The square root of 117217584463849 is 10826707.

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., 3811697855449 + 113405886608400 = 1952357^2 + 10649220^2 .

It is not a de Polignac number, because 117217584463849 - 2¹¹ = 117217584461801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117217584463949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 660340384 + ... + 660517870.

It is an arithmetic number, because the mean of its divisors is an integer number (13241261920159).

Almost surely, 2^{117217584463849} is an apocalyptic number.

117217584463849 is the 10826707-th square number.

117217584463849 is the 5413354-th centered octagonal number.

It is an amenable number.

117217584463849 is a deficient number, since it is larger than the sum of its proper divisors (1953772817582).

117217584463849 is an frugal number, since it uses more digits than its factorization.

117217584463849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355096 (or 177548 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 70.

The spelling of 117217584463849 in words is "one hundred seventeen trillion, two hundred seventeen billion, five hundred eighty-four million, four hundred sixty-three thousand, eight hundred forty-nine".