6585038145 has 192 divisors, whose sum is σ = 14791196160. Its totient is φ = 2637619200.

The previous prime is 6585038129. The next prime is 6585038237. The reversal of 6585038145 is 5418305856.

6585038145 is a `hidden beast` number, since 65 + 8 + 503 + 81 + 4 + 5 = 666.

It is not a de Polignac number, because 6585038145 - 2⁴ = 6585038129 is a prime.

It is a super-2 number, since 2×6585038145² = 86725454742210082050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6585038145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6205915 + ... + 6206975.

It is an arithmetic number, because the mean of its divisors is an integer number (77037480).

Almost surely, 2^6585038145 is an apocalyptic number.

It is an amenable number.

6585038145 is an abundant number, since it is smaller than the sum of its proper divisors (8206158015).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6585038145 is a wasteful number, since it uses less digits than its factorization.

6585038145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 6585038145 is about 81148.2479478146. The cubic root of 6585038145 is about 1874.3589531231.

The spelling of 6585038145 in words is "six billion, five hundred eighty-five million, thirty-eight thousand, one hundred forty-five".