429802181649 has 9 divisors (see below), whose sum is σ = 620828214409. Its totient is φ = 286533476580.

The previous prime is 429802181621. The next prime is 429802181657. The reversal of 429802181649 is 946181208924.

It is a happy number.

The square root of 429802181649 is 655593.

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

429802181649 is a `hidden beast` number, since 429 + 80 + 2 + 1 + 81 + 64 + 9 = 666.

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

It is not a de Polignac number, because 429802181649 - 2¹⁷ = 429802050577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 429802181595 and 429802181604.

It is not an unprimeable number, because it can be changed into a prime (429802181659) 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, 1857514 + ... + 2076044.

Almost surely, 2^429802181649 is an apocalyptic number.

429802181649 is the 655593-rd square number.

429802181649 is the 327797-th centered octagonal number.

It is an amenable number.

429802181649 is a deficient number, since it is larger than the sum of its proper divisors (191026032760).

429802181649 is an frugal number, since it uses more digits than its factorization.

429802181649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437068 (or 218534 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 429802181649 in words is "four hundred twenty-nine billion, eight hundred two million, one hundred eighty-one thousand, six hundred forty-nine".