16449667760761 has 27 divisors (see below), whose sum is σ = 16793927711181. Its totient is φ = 16112438578368.

The previous prime is 16449667760753. The next prime is 16449667760803. The reversal of 16449667760761 is 16706776694461.

The square root of 16449667760761 is 4055819.

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

It can be written as a sum of positive squares in 4 ways, for example, as 577571120361 + 15872096640400 = 759981^2 + 3983980^2 .

It is not a de Polignac number, because 16449667760761 - 2³ = 16449667760753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16449667769761) 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, 71832610195 + ... + 71832610423.

Almost surely, 2^{16449667760761} is an apocalyptic number.

16449667760761 is the 4055819-th square number.

16449667760761 is the 2027910-th centered octagonal number.

It is an amenable number.

16449667760761 is a deficient number, since it is larger than the sum of its proper divisors (344259950420).

16449667760761 is an frugal number, since it uses more digits than its factorization.

16449667760761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 70.

The spelling of 16449667760761 in words is "sixteen trillion, four hundred forty-nine billion, six hundred sixty-seven million, seven hundred sixty thousand, seven hundred sixty-one".