429116354301 has 32 divisors (see below), whose sum is σ = 603962611200. Its totient is φ = 270259346880.

The previous prime is 429116354221. The next prime is 429116354309. The reversal of 429116354301 is 103453611924.

It is not a de Polignac number, because 429116354301 - 2¹⁸ = 429116092157 is a prime.

It is a super-3 number, since 3×429116354301³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 429116354301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429116354309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47616886 + ... + 47625896.

It is an arithmetic number, because the mean of its divisors is an integer number (18873831600).

Almost surely, 2^429116354301 is an apocalyptic number.

It is an amenable number.

429116354301 is a deficient number, since it is larger than the sum of its proper divisors (174846256899).

429116354301 is a wasteful number, since it uses less digits than its factorization.

429116354301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11289.

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 429116354301 in words is "four hundred twenty-nine billion, one hundred sixteen million, three hundred fifty-four thousand, three hundred one".