549585585945 has 288 divisors, whose sum is σ = 1138968739584. Its totient is φ = 242891136000.

The previous prime is 549585585931. The next prime is 549585585947.

549585585945 is a `hidden beast` number, since 5 + 495 + 8 + 55 + 85 + 9 + 4 + 5 = 666.

549585585945 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 549585585945 - 2¹³ = 549585577753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (549585585947) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 667782804 + ... + 667783626.

It is an arithmetic number, because the mean of its divisors is an integer number (3954752568).

Almost surely, 2^549585585945 is an apocalyptic number.

549585585945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

549585585945 is an abundant number, since it is smaller than the sum of its proper divisors (589383153639).

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

549585585945 is a wasteful number, since it uses less digits than its factorization.

549585585945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 999 counting only the distinct ones).

The product of its digits is 1296000000, while the sum is 72.

The spelling of 549585585945 in words is "five hundred forty-nine billion, five hundred eighty-five million, five hundred eighty-five thousand, nine hundred forty-five".