11589578496409 has 9 divisors (see below), whose sum is σ = 11738411425503. Its totient is φ = 11442609432072.

The previous prime is 11589578496389. The next prime is 11589578496427. The reversal of 11589578496409 is 90469487598511.

The square root of 11589578496409 is 3404347.

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., 3560448217225 + 8029130279184 = 1886915^2 + 2833572^2 .

It is not a de Polignac number, because 11589578496409 - 2²⁵ = 11589544941977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11589578496449) 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, 268921867 + ... + 268964959.

It is an arithmetic number, because the mean of its divisors is an integer number (1304267936167).

Almost surely, 2^{11589578496409} is an apocalyptic number.

11589578496409 is the 3404347-th square number.

11589578496409 is the 1702174-th centered octagonal number.

It is an amenable number.

11589578496409 is a deficient number, since it is larger than the sum of its proper divisors (148832929094).

11589578496409 is an frugal number, since it uses more digits than its factorization.

11589578496409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86344 (or 43172 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 76.

The spelling of 11589578496409 in words is "eleven trillion, five hundred eighty-nine billion, five hundred seventy-eight million, four hundred ninety-six thousand, four hundred nine".