1084112016849 has 9 divisors (see below), whose sum is σ = 1565944091803. Its totient is φ = 722739262152.

The previous prime is 1084112016829. The next prime is 1084112016859. The reversal of 1084112016849 is 9486102114801.

The square root of 1084112016849 is 1041207.

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

1084112016849 is a `hidden beast` number, since 10 + 8 + 411 + 20 + 168 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1053100806849 + 31011210000 = 1026207^2 + 176100^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1084112016849 - 2²⁹ = 1083575145937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1084112016829) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2950087 + ... + 3297155.

Almost surely, 2^{1084112016849} is an apocalyptic number.

1084112016849 is the 1041207-th square number.

1084112016849 is the 520604-th centered octagonal number.

It is an amenable number.

1084112016849 is a deficient number, since it is larger than the sum of its proper divisors (481832074954).

1084112016849 is an frugal number, since it uses more digits than its factorization.

1084112016849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694144 (or 347072 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1084112016849 in words is "one trillion, eighty-four billion, one hundred twelve million, sixteen thousand, eight hundred forty-nine".