319849653004281 has 63 divisors (see below), whose sum is σ = 482743471647231. Its totient is φ = 211824710149104.

The previous prime is 319849653004279. The next prime is 319849653004291. The reversal of 319849653004281 is 182400356948913.

The square root of 319849653004281 is 17884341.

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

319849653004281 is a `hidden beast` number, since 3 + 1 + 9 + 8 + 4 + 96 + 530 + 0 + 4 + 2 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93752839586025 + 226096813418256 = 9682605^2 + 15036516^2 .

It is not a de Polignac number, because 319849653004281 - 2¹ = 319849653004279 is a prime.

It is a super-2 number, since 2×319849653004281² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (319849653004291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 75811719390 + ... + 75811723608.

Almost surely, 2^{319849653004281} is an apocalyptic number.

319849653004281 is the 17884341-st square number.

319849653004281 is the 8942171-st centered octagonal number.

It is an amenable number.

319849653004281 is a deficient number, since it is larger than the sum of its proper divisors (162893818642950).

319849653004281 is an frugal number, since it uses more digits than its factorization.

319849653004281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8770 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 319849653004281 in words is "three hundred nineteen trillion, eight hundred forty-nine billion, six hundred fifty-three million, four thousand, two hundred eighty-one".