16816946117409 has 27 divisors (see below), whose sum is σ = 24696990097689. Its totient is φ = 11027013549120.

The previous prime is 16816946117407. The next prime is 16816946117437. The reversal of 16816946117409 is 90471164961861.

The square root of 16816946117409 is 4100847.

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

16816946117409 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 6 + 9 + 4 + 611 + 7 + 4 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4482099707409 + 12334846410000 = 2117097^2 + 3512100^2 .

It is not a de Polignac number, because 16816946117409 - 2¹ = 16816946117407 is a prime.

It is a super-2 number, since 2×16816946117409² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16816946117407) 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, 750443797 + ... + 750466205.

Almost surely, 2^{16816946117409} is an apocalyptic number.

16816946117409 is the 4100847-th square number.

16816946117409 is the 2050424-th centered octagonal number.

It is an amenable number.

16816946117409 is a deficient number, since it is larger than the sum of its proper divisors (7880043980280).

16816946117409 is an frugal number, since it uses more digits than its factorization.

16816946117409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44946 (or 22473 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 16816946117409 in words is "sixteen trillion, eight hundred sixteen billion, nine hundred forty-six million, one hundred seventeen thousand, four hundred nine".