165564354816 has 405 divisors, whose sum is σ = 560127815429. Its totient is φ = 47030667264.

The previous prime is 165564354797. The next prime is 165564354859. The reversal of 165564354816 is 618453465561.

The square root of 165564354816 is 406896.

It is a perfect power (a square), and thus also a powerful number.

165564354816 is a `hidden beast` number, since 1 + 6 + 5 + 56 + 43 + 548 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150606086400 + 14958268416 = 388080^2 + 122304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 957019306 + ... + 957019478.

Almost surely, 2^165564354816 is an apocalyptic number.

165564354816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

165564354816 is the 406896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165564354816

165564354816 is an abundant number, since it is smaller than the sum of its proper divisors (394563460613).

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

165564354816 is an frugal number, since it uses more digits than its factorization.

165564354816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 185 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 165564354816 in words is "one hundred sixty-five billion, five hundred sixty-four million, three hundred fifty-four thousand, eight hundred sixteen".