1226261672689 has 9 divisors (see below), whose sum is σ = 1252960646731. Its totient is φ = 1200120059920.

The previous prime is 1226261672659. The next prime is 1226261672711. The reversal of 1226261672689 is 9862761626221.

It is a happy number.

The square root of 1226261672689 is 1107367.

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., 255800258289 + 970461414400 = 505767^2 + 985120^2 .

It is not a de Polignac number, because 1226261672689 - 2¹⁵ = 1226261639921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1226261672659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52034469 + ... + 52058029.

Almost surely, 2^{1226261672689} is an apocalyptic number.

1226261672689 is the 1107367-th square number.

1226261672689 is the 553684-th centered octagonal number.

It is an amenable number.

1226261672689 is a deficient number, since it is larger than the sum of its proper divisors (26698974042).

1226261672689 is an frugal number, since it uses more digits than its factorization.

1226261672689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47216 (or 23608 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 58.

The spelling of 1226261672689 in words is "one trillion, two hundred twenty-six billion, two hundred sixty-one million, six hundred seventy-two thousand, six hundred eighty-nine".