1684279648817 has 2 divisors, whose sum is σ = 1684279648818. Its totient is φ = 1684279648816.

The previous prime is 1684279648771. The next prime is 1684279648841. The reversal of 1684279648817 is 7188469724861.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1569818549776 + 114461099041 = 1252924^2 + 338321^2 .

It is an emirp because it is prime and its reverse (7188469724861) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1684279648817 - 2⁸ = 1684279648561 is a prime.

It is a super-3 number, since 3×1684279648817³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1684279648217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 842139824408 + 842139824409.

It is an arithmetic number, because the mean of its divisors is an integer number (842139824409).

Almost surely, 2^{1684279648817} is an apocalyptic number.

It is an amenable number.

1684279648817 is a deficient number, since it is larger than the sum of its proper divisors (1).

1684279648817 is an equidigital number, since it uses as much as digits as its factorization.

1684279648817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 260112384, while the sum is 71.

The spelling of 1684279648817 in words is "one trillion, six hundred eighty-four billion, two hundred seventy-nine million, six hundred forty-eight thousand, eight hundred seventeen".