16441137729 has 27 divisors (see below), whose sum is σ = 24676041793. Its totient is φ = 10953834444.

The previous prime is 16441137689. The next prime is 16441137781. The reversal of 16441137729 is 92773114461.

It is a happy number.

The square root of 16441137729 is 128223.

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

16441137729 is a `hidden beast` number, since 1 + 6 + 441 + 137 + 72 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 16441137729 - 2¹⁷ = 16441006657 is a prime.

It is a super-3 number, since 3×16441137729³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16441137799) 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, 10385272 + ... + 10386854.

Almost surely, 2^16441137729 is an apocalyptic number.

16441137729 is the 128223-rd square number.

16441137729 is the 64112-nd centered octagonal number.

It is an amenable number.

16441137729 is a deficient number, since it is larger than the sum of its proper divisors (8234904064).

16441137729 is an frugal number, since it uses more digits than its factorization.

16441137729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 1586 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 16441137729 in words is "sixteen billion, four hundred forty-one million, one hundred thirty-seven thousand, seven hundred twenty-nine".