16182129681 has 9 divisors (see below), whose sum is σ = 23374738569. Its totient is φ = 10787832036.

The previous prime is 16182129679. The next prime is 16182129683. The reversal of 16182129681 is 18692128161.

It is a happy number.

The square root of 16182129681 is 127209.

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

16182129681 is a `hidden beast` number, since 1 + 618 + 2 + 1 + 29 + 6 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (16182129679) and next prime (16182129683).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 16182129681 - 2¹ = 16182129679 is a prime.

It is a super-2 number, since 2×16182129681² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16182129683) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 360426 + ... + 402828.

Almost surely, 2^16182129681 is an apocalyptic number.

16182129681 is the 127209-th square number.

16182129681 is the 63605-th centered octagonal number.

It is an amenable number.

16182129681 is a deficient number, since it is larger than the sum of its proper divisors (7192608888).

16182129681 is an frugal number, since it uses more digits than its factorization.

16182129681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84812 (or 42406 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The spelling of 16182129681 in words is "sixteen billion, one hundred eighty-two million, one hundred twenty-nine thousand, six hundred eighty-one".