1284362090209 has 27 divisors (see below), whose sum is σ = 1420713855379. Its totient is φ = 1160224136720.

The previous prime is 1284362090203. The next prime is 1284362090293. The reversal of 1284362090209 is 9020902634821.

The square root of 1284362090209 is 1133297.

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

It can be written as a sum of positive squares in only one way, i.e., 84504745809 + 1199857344400 = 290697^2 + 1095380^2 .

It is not a de Polignac number, because 1284362090209 - 2⁹ = 1284362089697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1284362090203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3353425632 + ... + 3353426014.

Almost surely, 2^{1284362090209} is an apocalyptic number.

1284362090209 is the 1133297-th square number.

1284362090209 is the 566649-th centered octagonal number.

It is an amenable number.

1284362090209 is a deficient number, since it is larger than the sum of its proper divisors (136351765170).

1284362090209 is an frugal number, since it uses more digits than its factorization.

1284362090209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 1284362090209 in words is "one trillion, two hundred eighty-four billion, three hundred sixty-two million, ninety thousand, two hundred nine".