1478089398289 has 81 divisors (see below), whose sum is σ = 1831181387763. Its totient is φ = 1189545337344.

The previous prime is 1478089398287. The next prime is 1478089398293. The reversal of 1478089398289 is 9828939808741.

The square root of 1478089398289 is 1215767.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1268252111889 + 209837286400 = 1126167^2 + 458080^2 .

It is not a de Polignac number, because 1478089398289 - 2¹ = 1478089398287 is a prime.

It is a super-2 number, since 2×1478089398289² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1478089398287) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13080437097 + ... + 13080437209.

Almost surely, 2^{1478089398289} is an apocalyptic number.

1478089398289 is the 1215767-th square number.

1478089398289 is the 607884-th centered octagonal number.

It is an amenable number.

1478089398289 is a deficient number, since it is larger than the sum of its proper divisors (353091989474).

1478089398289 is an frugal number, since it uses more digits than its factorization.

1478089398289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 76.

The spelling of 1478089398289 in words is "one trillion, four hundred seventy-eight billion, eighty-nine million, three hundred ninety-eight thousand, two hundred eighty-nine".