429951669849 has 243 divisors, whose sum is σ = 764554700637. Its totient is φ = 232655334912.

The previous prime is 429951669779. The next prime is 429951669853. The reversal of 429951669849 is 948966159924.

The square root of 429951669849 is 655707.

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

429951669849 is a `hidden beast` number, since 4 + 2 + 9 + 9 + 516 + 69 + 8 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3882162249 + 426069507600 = 62307^2 + 652740^2 .

It is not a de Polignac number, because 429951669849 - 2¹¹ = 429951667801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (429951669949) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 9998876022 + ... + 9998876064.

Almost surely, 2^429951669849 is an apocalyptic number.

429951669849 is the 655707-th square number.

429951669849 is the 327854-th centered octagonal number.

It is an amenable number.

429951669849 is a deficient number, since it is larger than the sum of its proper divisors (334603030788).

429951669849 is a wasteful number, since it uses less digits than its factorization.

429951669849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 99 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 72.

The spelling of 429951669849 in words is "four hundred twenty-nine billion, nine hundred fifty-one million, six hundred sixty-nine thousand, eight hundred forty-nine".