1149606406809 has 243 divisors, whose sum is σ = 2107170498303. Its totient is φ = 625305290400.

The previous prime is 1149606406723. The next prime is 1149606406891. The reversal of 1149606406809 is 9086046069411.

It is a happy number.

The square root of 1149606406809 is 1072197.

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

1149606406809 is a `hidden beast` number, since 11 + 496 + 0 + 64 + 0 + 6 + 80 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37383062409 + 1112223344400 = 193347^2 + 1054620^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 1149606406809 - 2¹¹ = 1149606404761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1149606401809) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 18846006639 + ... + 18846006699.

Almost surely, 2^{1149606406809} is an apocalyptic number.

1149606406809 is the 1072197-th square number.

1149606406809 is the 536099-th centered octagonal number.

It is an amenable number.

1149606406809 is a deficient number, since it is larger than the sum of its proper divisors (957564091494).

1149606406809 is an frugal number, since it uses more digits than its factorization.

1149606406809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1149606406809 in words is "one trillion, one hundred forty-nine billion, six hundred six million, four hundred six thousand, eight hundred nine".