7584146968489 has 81 divisors (see below), whose sum is σ = 9753955281189. Its totient is φ = 5877113336640.

The previous prime is 7584146968481. The next prime is 7584146968513. The reversal of 7584146968489 is 9848696414857.

The square root of 7584146968489 is 2753933.

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 196840406889 + 7387306561600 = 443667^2 + 2717960^2 .

It is not a de Polignac number, because 7584146968489 - 2³ = 7584146968481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7584146968481) 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, 13282218574 + ... + 13282219144.

Almost surely, 2^{7584146968489} is an apocalyptic number.

7584146968489 is the 2753933-rd square number.

7584146968489 is the 1376967-th centered octagonal number.

It is an amenable number.

7584146968489 is a deficient number, since it is larger than the sum of its proper divisors (2169808312700).

7584146968489 is an frugal number, since it uses more digits than its factorization.

7584146968489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 644 counting only the distinct ones).

The product of its digits is 3344302080, while the sum is 79.

The spelling of 7584146968489 in words is "seven trillion, five hundred eighty-four billion, one hundred forty-six million, nine hundred sixty-eight thousand, four hundred eighty-nine".