13822469761 has 9 divisors (see below), whose sum is σ = 13990113993. Its totient is φ = 13656815040.

The previous prime is 13822469743. The next prime is 13822469777. The reversal of 13822469761 is 16796422831.

It is a happy number.

The square root of 13822469761 is 117569.

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 431351361 + 13391118400 = 20769^2 + 115720^2 .

It is not a de Polignac number, because 13822469761 - 2⁵ = 13822469729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13822469261) 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, 10462981 + ... + 10464301.

Almost surely, 2^13822469761 is an apocalyptic number.

13822469761 is the 117569-th square number.

13822469761 is the 58785-th centered octagonal number.

It is an amenable number.

13822469761 is a deficient number, since it is larger than the sum of its proper divisors (167644232).

13822469761 is an frugal number, since it uses more digits than its factorization.

13822469761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 1410 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

Multiplying 13822469761 by its sum of digits (49), we get a square (677301018289 = 822983²).

The spelling of 13822469761 in words is "thirteen billion, eight hundred twenty-two million, four hundred sixty-nine thousand, seven hundred sixty-one".