1684279648805 has 32 divisors (see below), whose sum is σ = 2179542405600. Its totient is φ = 1242099855360.

The previous prime is 1684279648771. The next prime is 1684279648817. The reversal of 1684279648805 is 5088469724861.

It is a Cunningham number, because it is equal to 1297798²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 263265452836 + 1421014195969 = 513094^2 + 1192063^2 .

It is not a de Polignac number, because 1684279648805 - 2³² = 1679984681509 is a prime.

It is a super-3 number, since 3×1684279648805³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197657945 + ... + 197666465.

It is an arithmetic number, because the mean of its divisors is an integer number (68110700175).

Almost surely, 2^{1684279648805} is an apocalyptic number.

It is an amenable number.

1684279648805 is a deficient number, since it is larger than the sum of its proper divisors (495262756795).

1684279648805 is a wasteful number, since it uses less digits than its factorization.

1684279648805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12281.

The product of its (nonzero) digits is 185794560, while the sum is 68.

The spelling of 1684279648805 in words is "one trillion, six hundred eighty-four billion, two hundred seventy-nine million, six hundred forty-eight thousand, eight hundred five".