1038346734049 has 3 divisors (see below), whose sum is σ = 1038347753043. Its totient is φ = 1038345715056.

The previous prime is 1038346734031. The next prime is 1038346734079. The reversal of 1038346734049 is 9404376438301.

The square root of 1038346734049 is 1018993.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 871039557025 + 167307177024 = 933295^2 + 409032^2 .

It is not a de Polignac number, because 1038346734049 - 2¹⁷ = 1038346602977 is a prime.

It is a super-2 number, since 2×1038346734049² (a number of 25 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 = 1038346733987 and 1038346734005.

It is not an unprimeable number, because it can be changed into a prime (1038346734079) 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 2 ways as a sum of consecutive naturals, for example, 509497 + ... + 1528489.

It is an arithmetic number, because the mean of its divisors is an integer number (346115917681).

Almost surely, 2^{1038346734049} is an apocalyptic number.

1038346734049 is the 1018993-rd square number.

1038346734049 is the 509497-th centered octagonal number.

It is an amenable number.

1038346734049 is a deficient number, since it is larger than the sum of its proper divisors (1018994).

1038346734049 is an frugal number, since it uses more digits than its factorization.

1038346734049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037986 (or 1018993 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 52.

The spelling of 1038346734049 in words is "one trillion, thirty-eight billion, three hundred forty-six million, seven hundred thirty-four thousand, forty-nine".