586145368914 has 384 divisors, whose sum is σ = 1465034231808. Its totient is φ = 155707453440.

The previous prime is 586145368799. The next prime is 586145368927. The reversal of 586145368914 is 419863541685.

It is a Curzon number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 5477994049 + ... + 5477994155.

It is an arithmetic number, because the mean of its divisors is an integer number (3815193312).

Almost surely, 2^586145368914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 586145368914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732517115904).

586145368914 is an abundant number, since it is smaller than the sum of its proper divisors (878888862894).

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

586145368914 is a wasteful number, since it uses less digits than its factorization.

586145368914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 391 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 60.

The spelling of 586145368914 in words is "five hundred eighty-six billion, one hundred forty-five million, three hundred sixty-eight thousand, nine hundred fourteen".