16189256961 has 12 divisors (see below), whose sum is σ = 24760040292. Its totient is φ = 10157965056.

The previous prime is 16189256957. The next prime is 16189256971. The reversal of 16189256961 is 16965298161.

16189256961 is a `hidden beast` number, since 1 + 6 + 18 + 9 + 2 + 569 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8343726336 + 7845530625 = 91344^2 + 88575^2 .

It is not a de Polignac number, because 16189256961 - 2² = 16189256957 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 16189256898 and 16189256907.

It is not an unprimeable number, because it can be changed into a prime (16189256971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52905916 + ... + 52906221.

It is an arithmetic number, because the mean of its divisors is an integer number (2063336691).

Almost surely, 2^16189256961 is an apocalyptic number.

It is an amenable number.

16189256961 is a deficient number, since it is larger than the sum of its proper divisors (8570783331).

16189256961 is a wasteful number, since it uses less digits than its factorization.

16189256961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105812160 (or 105812157 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The spelling of 16189256961 in words is "sixteen billion, one hundred eighty-nine million, two hundred fifty-six thousand, nine hundred sixty-one".