11128773049 has 27 divisors (see below), whose sum is σ = 11930377647. Its totient is φ = 10380511200.

The previous prime is 11128773041. The next prime is 11128773059. The reversal of 11128773049 is 94037782111.

The square root of 11128773049 is 105493.

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., 536246649 + 10592526400 = 23157^2 + 102920^2 .

It is not a de Polignac number, because 11128773049 - 2³ = 11128773041 is a prime.

It is a super-2 number, since 2×11128773049² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11128772996 and 11128773014.

It is not an unprimeable number, because it can be changed into a prime (11128773041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 134081562 + ... + 134081644.

Almost surely, 2^11128773049 is an apocalyptic number.

11128773049 is the 105493-rd square number.

11128773049 is the 52747-th centered octagonal number.

It is an amenable number.

11128773049 is a deficient number, since it is larger than the sum of its proper divisors (801604598).

11128773049 is an frugal number, since it uses more digits than its factorization.

11128773049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 43.

The spelling of 11128773049 in words is "eleven billion, one hundred twenty-eight million, seven hundred seventy-three thousand, forty-nine".