1463429736729 has 9 divisors (see below), whose sum is σ = 2113848195199. Its totient is φ = 975617405040.

The previous prime is 1463429736677. The next prime is 1463429736731. The reversal of 1463429736729 is 9276379243641.

It is a happy number.

The square root of 1463429736729 is 1209723.

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

1463429736729 is a `hidden beast` number, since 1 + 4 + 63 + 429 + 73 + 67 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1463197479129 + 232257600 = 1209627^2 + 15240^2 .

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

It is not a de Polignac number, because 1463429736729 - 2⁹ = 1463429736217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1463429736749) 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, 3427549 + ... + 3830789.

Almost surely, 2^{1463429736729} is an apocalyptic number.

1463429736729 is the 1209723-rd square number.

1463429736729 is the 604862-nd centered octagonal number.

It is an amenable number.

1463429736729 is a deficient number, since it is larger than the sum of its proper divisors (650418458470).

1463429736729 is an frugal number, since it uses more digits than its factorization.

1463429736729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806488 (or 403244 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 63.

The spelling of 1463429736729 in words is "one trillion, four hundred sixty-three billion, four hundred twenty-nine million, seven hundred thirty-six thousand, seven hundred twenty-nine".