16624106189289 has 81 divisors (see below), whose sum is σ = 25535346583383. Its totient is φ = 10420320199104.

The previous prime is 16624106189263. The next prime is 16624106189291. The reversal of 16624106189289 is 98298160142661.

The square root of 16624106189289 is 4077267.

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

16624106189289 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 4 + 1 + 0 + 618 + 9 + 2 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3376020386025 + 13248085803264 = 1837395^2 + 3639792^2 .

It is not a de Polignac number, because 16624106189289 - 2⁷ = 16624106189161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16624106189219) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 54150182874 + ... + 54150183180.

Almost surely, 2^{16624106189289} is an apocalyptic number.

16624106189289 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

16624106189289 is the 4077267-th square number.

16624106189289 is the 2038634-th centered octagonal number.

It is an amenable number.

16624106189289 is a deficient number, since it is larger than the sum of its proper divisors (8911240394094).

16624106189289 is an frugal number, since it uses more digits than its factorization.

16624106189289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 16624106189289 in words is "sixteen trillion, six hundred twenty-four billion, one hundred six million, one hundred eighty-nine thousand, two hundred eighty-nine".