11761614289441 has 9 divisors (see below), whose sum is σ = 11848565457561. Its totient is φ = 11675296675392.

The previous prime is 11761614289357. The next prime is 11761614289459. The reversal of 11761614289441 is 14498241616711.

The square root of 11761614289441 is 3429521.

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 1645906819041 + 10115707470400 = 1282929^2 + 3180520^2 .

It is not a de Polignac number, because 11761614289441 - 2¹⁵ = 11761614256673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11761614289541) 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, 469831861 + ... + 469856893.

Almost surely, 2^{11761614289441} is an apocalyptic number.

11761614289441 is the 3429521-st square number.

11761614289441 is the 1714761-st centered octagonal number.

It is an amenable number.

11761614289441 is a deficient number, since it is larger than the sum of its proper divisors (86951168120).

11761614289441 is an frugal number, since it uses more digits than its factorization.

11761614289441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50340 (or 25170 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 55.

The spelling of 11761614289441 in words is "eleven trillion, seven hundred sixty-one billion, six hundred fourteen million, two hundred eighty-nine thousand, four hundred forty-one".