585379536948 has 18 divisors (see below), whose sum is σ = 1479709385154. Its totient is φ = 195126512304.

The previous prime is 585379536881. The next prime is 585379536949. The reversal of 585379536948 is 849635973585.

585379536948 is a `hidden beast` number, since 5 + 85 + 3 + 7 + 9 + 536 + 9 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 528104517264 + 57275019684 = 726708^2 + 239322^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585379536949) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8130271311 + ... + 8130271382.

It is an arithmetic number, because the mean of its divisors is an integer number (82206076953).

Almost surely, 2^585379536948 is an apocalyptic number.

It is an amenable number.

585379536948 is an abundant number, since it is smaller than the sum of its proper divisors (894329848206).

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

585379536948 is a wasteful number, since it uses less digits than its factorization.

585379536948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16260542703 (or 16260542698 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 72.

The spelling of 585379536948 in words is "five hundred eighty-five billion, three hundred seventy-nine million, five hundred thirty-six thousand, nine hundred forty-eight".