1684257141249 has 12 divisors (see below), whose sum is σ = 2498567651476. Its totient is φ = 1092491118432.

The previous prime is 1684257141199. The next prime is 1684257141269. The reversal of 1684257141249 is 9421417524861.

1684257141249 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 2 + 571 + 41 + 24 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1581225771024 + 103031370225 = 1257468^2 + 320985^2 .

It is not a de Polignac number, because 1684257141249 - 2⁷ = 1684257141121 is a prime.

It is a super-3 number, since 3×1684257141249³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1684257141195 and 1684257141204.

It is not an unprimeable number, because it can be changed into a prime (1684257141269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2528914294 + ... + 2528914959.

Almost surely, 2^{1684257141249} is an apocalyptic number.

It is an amenable number.

1684257141249 is a deficient number, since it is larger than the sum of its proper divisors (814310510227).

1684257141249 is a wasteful number, since it uses less digits than its factorization.

1684257141249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057829296 (or 5057829293 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 1684257141249 in words is "one trillion, six hundred eighty-four billion, two hundred fifty-seven million, one hundred forty-one thousand, two hundred forty-nine".