16627328809 has 45 divisors (see below), whose sum is σ = 21147771267. Its totient is φ = 13034994336.

The previous prime is 16627328807. The next prime is 16627328813. The reversal of 16627328809 is 90882372661.

The square root of 16627328809 is 128947.

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

It can be written as a sum of positive squares in 7 ways, for example, as 15927197209 + 700131600 = 126203^2 + 26460^2 .

It is not a de Polignac number, because 16627328809 - 2¹ = 16627328807 is a prime.

It is a super-3 number, since 3×16627328809³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16627328801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 152544247 + ... + 152544355.

Almost surely, 2^16627328809 is an apocalyptic number.

16627328809 is the 128947-th square number.

16627328809 is the 64474-th centered octagonal number.

It is an amenable number.

16627328809 is a deficient number, since it is larger than the sum of its proper divisors (4520442458).

16627328809 is an frugal number, since it uses more digits than its factorization.

16627328809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 16627328809 in words is "sixteen billion, six hundred twenty-seven million, three hundred twenty-eight thousand, eight hundred nine".