16785073047681 has 27 divisors (see below), whose sum is σ = 24288733141257. Its totient is φ = 11169949017600.

The previous prime is 16785073047679. The next prime is 16785073047697. The reversal of 16785073047681 is 18674037058761.

The square root of 16785073047681 is 4096959.

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

16785073047681 is a `hidden beast` number, since 1 + 6 + 7 + 8 + 50 + 7 + 30 + 476 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 615699162225 + 16169373885456 = 784665^2 + 4021116^2 .

It is not a de Polignac number, because 16785073047681 - 2¹ = 16785073047679 is a prime.

It is a super-2 number, since 2×16785073047681² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16785073047881) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10484117281 + ... + 10484118881.

Almost surely, 2^{16785073047681} is an apocalyptic number.

16785073047681 is the 4096959-th square number.

16785073047681 is the 2048480-th centered octagonal number.

It is an amenable number.

16785073047681 is a deficient number, since it is larger than the sum of its proper divisors (7503660093576).

16785073047681 is an frugal number, since it uses more digits than its factorization.

16785073047681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4914 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 16785073047681 in words is "sixteen trillion, seven hundred eighty-five billion, seventy-three million, forty-seven thousand, six hundred eighty-one".