11531967769 has 45 divisors (see below), whose sum is σ = 14524775967. Its totient is φ = 9128754096.

The previous prime is 11531967757. The next prime is 11531967773. The reversal of 11531967769 is 96776913511.

The square root of 11531967769 is 107387.

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., 6047084169 + 5484883600 = 77763^2 + 74060^2 .

It is not a de Polignac number, because 11531967769 - 2¹¹ = 11531965721 is a prime.

It is a super-2 number, since 2×11531967769² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11531967709) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 397654047 + ... + 397654075.

Almost surely, 2^11531967769 is an apocalyptic number.

11531967769 is the 107387-th square number.

11531967769 is the 53694-th centered octagonal number.

It is an amenable number.

11531967769 is a deficient number, since it is larger than the sum of its proper divisors (2992808198).

11531967769 is an frugal number, since it uses more digits than its factorization.

11531967769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 59 counting only the distinct ones).

The product of its digits is 2143260, while the sum is 55.

It can be divided in two parts, 11531 and 967769, that added together give a triangular number (979300 = T₁₃₉₉).

The spelling of 11531967769 in words is "eleven billion, five hundred thirty-one million, nine hundred sixty-seven thousand, seven hundred sixty-nine".