16564577117764 has 24 divisors (see below), whose sum is σ = 31218187249368. Its totient is φ = 7645108531200.

The previous prime is 16564577117749. The next prime is 16564577117779. The reversal of 16564577117764 is 46771177546561.

It is an interprime number because it is at equal distance from previous prime (16564577117749) and next prime (16564577117779).

It can be written as a sum of positive squares in 4 ways, for example, as 3339915264 + 16561237202500 = 57792^2 + 4069550^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16564577117764.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3422724 + ... + 6696580.

It is an arithmetic number, because the mean of its divisors is an integer number (1300757802057).

Almost surely, 2^{16564577117764} is an apocalyptic number.

It is an amenable number.

16564577117764 is a deficient number, since it is larger than the sum of its proper divisors (14653610131604).

16564577117764 is a wasteful number, since it uses less digits than its factorization.

16564577117764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371175 (or 3371173 counting only the distinct ones).

The product of its digits is 207446400, while the sum is 67.

The spelling of 16564577117764 in words is "sixteen trillion, five hundred sixty-four billion, five hundred seventy-seven million, one hundred seventeen thousand, seven hundred sixty-four".