11036973249 has 27 divisors (see below), whose sum is σ = 16567392387. Its totient is φ = 7352309088.

The previous prime is 11036973221. The next prime is 11036973253. The reversal of 11036973249 is 94237963011.

The square root of 11036973249 is 105057.

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., 11002961025 + 34012224 = 104895^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 11036973249 - 2¹³ = 11036965057 is a prime.

It is a super-3 number, since 3×11036973249³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11036273249) 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, 8508969 + ... + 8510265.

Almost surely, 2^11036973249 is an apocalyptic number.

11036973249 is the 105057-th square number.

11036973249 is the 52529-th centered octagonal number.

It is an amenable number.

11036973249 is a deficient number, since it is larger than the sum of its proper divisors (5530419138).

11036973249 is an frugal number, since it uses more digits than its factorization.

11036973249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 11036973249 in words is "eleven billion, thirty-six million, nine hundred seventy-three thousand, two hundred forty-nine".