16966104516 has 81 divisors (see below), whose sum is σ = 45593379559. Its totient is φ = 5318531328.

The previous prime is 16966104497. The next prime is 16966104517. The reversal of 16966104516 is 61540166961.

The square root of 16966104516 is 130254.

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

16966104516 is a `hidden beast` number, since 1 + 69 + 66 + 10 + 4 + 516 = 666.

16966104516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3277104516 + 13689000000 = 57246^2 + 117000^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16966104517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13285270 + ... + 13286546.

Almost surely, 2^16966104516 is an apocalyptic number.

16966104516 is the 130254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16966104516

16966104516 is an abundant number, since it is smaller than the sum of its proper divisors (28627275043).

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

16966104516 is a wasteful number, since it uses less digits than its factorization.

16966104516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 16966104516 in words is "sixteen billion, nine hundred sixty-six million, one hundred four thousand, five hundred sixteen".