11007418614049 has 27 divisors (see below), whose sum is σ = 13101917427417. Its totient is φ = 9236596512000.

The previous prime is 11007418614037. The next prime is 11007418614083. The reversal of 11007418614049 is 94041681470011.

The square root of 11007418614049 is 3317743.

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 189029300625 + 10818389313424 = 434775^2 + 3289132^2 .

It is not a de Polignac number, because 11007418614049 - 2¹³ = 11007418605857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11007418614019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 474425649 + ... + 474448849.

Almost surely, 2^{11007418614049} is an apocalyptic number.

11007418614049 is the 3317743-rd square number.

11007418614049 is the 1658872-nd centered octagonal number.

It is an amenable number.

11007418614049 is a deficient number, since it is larger than the sum of its proper divisors (2094498813368).

11007418614049 is an frugal number, since it uses more digits than its factorization.

11007418614049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46450 (or 23225 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 11007418614049 in words is "eleven trillion, seven billion, four hundred eighteen million, six hundred fourteen thousand, forty-nine".