1284393822721 has 9 divisors (see below), whose sum is σ = 1312357212931. Its totient is φ = 1257014162272.

The previous prime is 1284393822703. The next prime is 1284393822781. The reversal of 1284393822721 is 1272283934821.

It is a happy number.

The square root of 1284393822721 is 1133311.

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., 856855692225 + 427538130496 = 925665^2 + 653864^2 .

It is not a de Polignac number, because 1284393822721 - 2¹⁵ = 1284393789953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1284393822781) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53253561 + ... + 53277673.

Almost surely, 2^{1284393822721} is an apocalyptic number.

1284393822721 is the 1133311-st square number.

1284393822721 is the 566656-th centered octagonal number.

It is an amenable number.

1284393822721 is a deficient number, since it is larger than the sum of its proper divisors (27963390210).

1284393822721 is an frugal number, since it uses more digits than its factorization.

1284393822721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48320 (or 24160 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The spelling of 1284393822721 in words is "one trillion, two hundred eighty-four billion, three hundred ninety-three million, eight hundred twenty-two thousand, seven hundred twenty-one".