429786447561 has 9 divisors (see below), whose sum is σ = 620805487341. Its totient is φ = 286522987212.

The previous prime is 429786447553. The next prime is 429786447569. The reversal of 429786447561 is 165744687924.

The square root of 429786447561 is 655581.

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

429786447561 is a `hidden beast` number, since 4 + 2 + 9 + 7 + 8 + 64 + 4 + 7 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (429786447553) and next prime (429786447569).

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

It is not a de Polignac number, because 429786447561 - 2³ = 429786447553 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (429786447569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1857480 + ... + 2076006.

Almost surely, 2^429786447561 is an apocalyptic number.

429786447561 is the 655581-st square number.

429786447561 is the 327791-st centered octagonal number.

It is an amenable number.

429786447561 is a deficient number, since it is larger than the sum of its proper divisors (191019039780).

429786447561 is an frugal number, since it uses more digits than its factorization.

429786447561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437060 (or 218530 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 429786447561 in words is "four hundred twenty-nine billion, seven hundred eighty-six million, four hundred forty-seven thousand, five hundred sixty-one".