466205724004057 has 8 divisors (see below), whose sum is σ = 466891760904192. Its totient is φ = 465519746874000.

The previous prime is 466205724003911. The next prime is 466205724004067. The reversal of 466205724004057 is 750400427502664.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 466205724004057 - 2³⁵ = 466171364265689 is a prime.

It is a super-3 number, since 3×466205724004057³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 466205724003995 and 466205724004013.

It is not an unprimeable number, because it can be changed into a prime (466205724004067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 680938 + ... + 30543004.

It is an arithmetic number, because the mean of its divisors is an integer number (58361470113024).

Almost surely, 2^{466205724004057} is an apocalyptic number.

It is an amenable number.

466205724004057 is a deficient number, since it is larger than the sum of its proper divisors (686036900135).

466205724004057 is a wasteful number, since it uses less digits than its factorization.

466205724004057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29885039.

The product of its (nonzero) digits is 11289600, while the sum is 52.

The spelling of 466205724004057 in words is "four hundred sixty-six trillion, two hundred five billion, seven hundred twenty-four million, four thousand, fifty-seven".