429099673249 has 27 divisors (see below), whose sum is σ = 476643471339. Its totient is φ = 386116798080.

The previous prime is 429099673241. The next prime is 429099673291. The reversal of 429099673249 is 942376990924.

The square root of 429099673249 is 655057.

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

It can be written as a sum of positive squares in 13 ways, for example, as 329768805025 + 99330868224 = 574255^2 + 315168^2 .

It is not a de Polignac number, because 429099673249 - 2³ = 429099673241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (429099673241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 349144767 + ... + 349145995.

Almost surely, 2^429099673249 is an apocalyptic number.

429099673249 is the 655057-th square number.

429099673249 is the 327529-th centered octagonal number.

It is an amenable number.

429099673249 is a deficient number, since it is larger than the sum of its proper divisors (47543798090).

429099673249 is an frugal number, since it uses more digits than its factorization.

429099673249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 64.

Multiplying 429099673249 by its sum of digits (64), we get a square (27462379087936 = 5240456²).

The spelling of 429099673249 in words is "four hundred twenty-nine billion, ninety-nine million, six hundred seventy-three thousand, two hundred forty-nine".