466014362129 has 32 divisors (see below), whose sum is σ = 536321064960. Its totient is φ = 401986540800.

The previous prime is 466014362117. The next prime is 466014362153. The reversal of 466014362129 is 921263410664.

It is a cyclic number.

It is not a de Polignac number, because 466014362129 - 2²⁰ = 466013313553 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 466014362129.

It is not an unprimeable number, because it can be changed into a prime (466014362629) 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 31 ways as a sum of consecutive naturals, for example, 46084784 + ... + 46094894.

It is an arithmetic number, because the mean of its divisors is an integer number (16760033280).

Almost surely, 2^466014362129 is an apocalyptic number.

It is an amenable number.

466014362129 is a deficient number, since it is larger than the sum of its proper divisors (70306702831).

466014362129 is a wasteful number, since it uses less digits than its factorization.

466014362129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14781.

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 466014362129 in words is "four hundred sixty-six billion, fourteen million, three hundred sixty-two thousand, one hundred twenty-nine".