11919086474409 has 27 divisors (see below), whose sum is σ = 17252453228517. Its totient is φ = 7929479210400.

The previous prime is 11919086474381. The next prime is 11919086474411. The reversal of 11919086474409 is 90447468091911.

The square root of 11919086474409 is 3452403.

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

11919086474409 is a `hidden beast` number, since 1 + 19 + 1 + 90 + 8 + 64 + 74 + 409 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2136704292009 + 9782382182400 = 1461747^2 + 3127680^2 .

It is not a de Polignac number, because 11919086474409 - 2¹¹ = 11919086472361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11919086474419) 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, 6846114279 + ... + 6846116019.

Almost surely, 2^{11919086474409} is an apocalyptic number.

11919086474409 is the 3452403-rd square number.

11919086474409 is the 1726202-nd centered octagonal number.

It is an amenable number.

11919086474409 is a deficient number, since it is larger than the sum of its proper divisors (5333366754108).

11919086474409 is an frugal number, since it uses more digits than its factorization.

11919086474409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 11919086474409 in words is "eleven trillion, nine hundred nineteen billion, eighty-six million, four hundred seventy-four thousand, four hundred nine".