1684279648804 has 81 divisors (see below), whose sum is σ = 3126083638867. Its totient is φ = 793961669248.

The previous prime is 1684279648771. The next prime is 1684279648817. The reversal of 1684279648804 is 4088469724861.

The square root of 1684279648804 is 1297798.

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

It can be written as a sum of positive squares in 4 ways, for example, as 997781232100 + 686498416704 = 998890^2 + 828552^2 .

It is a super-3 number, since 3×1684279648804³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1684279648804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5313184854 + ... + 5313185170.

Almost surely, 2^{1684279648804} is an apocalyptic number.

1684279648804 is the 1297798-th square number.

It is an amenable number.

1684279648804 is a deficient number, since it is larger than the sum of its proper divisors (1441803990063).

1684279648804 is an frugal number, since it uses more digits than its factorization.

1684279648804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 67.

The spelling of 1684279648804 in words is "one trillion, six hundred eighty-four billion, two hundred seventy-nine million, six hundred forty-eight thousand, eight hundred four".