11617306445889 has 15 divisors (see below), whose sum is σ = 17354293725043. Its totient is φ = 7744850513424.

The previous prime is 11617306445839. The next prime is 11617306445917. The reversal of 11617306445889 is 98854460371611.

The square root of 11617306445889 is 3408417.

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

11617306445889 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 7 + 3 + 0 + 6 + 44 + 588 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6154840001025 + 5462466444864 = 2480895^2 + 2337192^2 .

It is not a de Polignac number, because 11617306445889 - 2⁹ = 11617306445377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11617306445839) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 30486397 + ... + 30865109.

Almost surely, 2^{11617306445889} is an apocalyptic number.

11617306445889 is the 3408417-th square number.

11617306445889 is the 1704209-th centered octagonal number.

It is an amenable number.

11617306445889 is a deficient number, since it is larger than the sum of its proper divisors (5736987279154).

11617306445889 is an frugal number, since it uses more digits than its factorization.

11617306445889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757438 (or 378716 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 11617306445889 in words is "eleven trillion, six hundred seventeen billion, three hundred six million, four hundred forty-five thousand, eight hundred eighty-nine".