4530365561664 has 84 divisors (see below), whose sum is σ = 13006522070724. Its totient is φ = 1507674212352.

The previous prime is 4530365561663. The next prime is 4530365561669. The reversal of 4530365561664 is 4661655630354.

4530365561664 is a `hidden beast` number, since 4 + 53 + 0 + 36 + 556 + 1 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 266999558400 + 4263366003264 = 516720^2 + 2064792^2 .

It is a super-2 number, since 2×4530365561664² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4530365561664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4530365561663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6018367 + ... + 6729150.

It is an arithmetic number, because the mean of its divisors is an integer number (154839548461).

Almost surely, 2^{4530365561664} is an apocalyptic number.

It is an amenable number.

4530365561664 is an abundant number, since it is smaller than the sum of its proper divisors (8476156509060).

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

4530365561664 is a wasteful number, since it uses less digits than its factorization.

4530365561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12748152 (or 12748139 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 4530365561664 in words is "four trillion, five hundred thirty billion, three hundred sixty-five million, five hundred sixty-one thousand, six hundred sixty-four".