1074483584329 has 9 divisors (see below), whose sum is σ = 1092451119669. Its totient is φ = 1056806904960.

The previous prime is 1074483584309. The next prime is 1074483584333. The reversal of 1074483584329 is 9234853844701.

The square root of 1074483584329 is 1036573.

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 768068196025 + 306415388304 = 876395^2 + 553548^2 .

It is not a de Polignac number, because 1074483584329 - 2¹⁷ = 1074483453257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1074483584309) 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, 63222457 + ... + 63239449.

It is an arithmetic number, because the mean of its divisors is an integer number (121383457741).

Almost surely, 2^{1074483584329} is an apocalyptic number.

1074483584329 is the 1036573-rd square number.

1074483584329 is the 518287-th centered octagonal number.

It is an amenable number.

1074483584329 is a deficient number, since it is larger than the sum of its proper divisors (17967535340).

1074483584329 is an frugal number, since it uses more digits than its factorization.

1074483584329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34108 (or 17054 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 1074483584329 in words is "one trillion, seventy-four billion, four hundred eighty-three million, five hundred eighty-four thousand, three hundred twenty-nine".