11659281455761 has 27 divisors (see below), whose sum is σ = 12442518049171. Its totient is φ = 10923124281344.

The previous prime is 11659281455747. The next prime is 11659281455807. The reversal of 11659281455761 is 16755418295611.

It is a happy number.

The square root of 11659281455761 is 3414569.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 7731908758161 + 3927372697600 = 2780631^2 + 1981760^2 .

It is not a de Polignac number, because 11659281455761 - 2²¹ = 11659279358609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11659281455761.

It is not an unprimeable number, because it can be changed into a prime (11659281255761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20490828285 + ... + 20490828853.

Almost surely, 2^{11659281455761} is an apocalyptic number.

11659281455761 is the 3414569-th square number.

11659281455761 is the 1707285-th centered octagonal number.

It is an amenable number.

11659281455761 is a deficient number, since it is larger than the sum of its proper divisors (783236593410).

11659281455761 is an frugal number, since it uses more digits than its factorization.

11659281455761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 939 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 61.

The spelling of 11659281455761 in words is "eleven trillion, six hundred fifty-nine billion, two hundred eighty-one million, four hundred fifty-five thousand, seven hundred sixty-one".