466124421664 has 48 divisors (see below), whose sum is σ = 1003836226176. Its totient is φ = 211297363200.

The previous prime is 466124421661. The next prime is 466124421683.

466124421664 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (466124421661) 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 7 ways as a sum of consecutive naturals, for example, 1674927 + ... + 1933294.

It is an arithmetic number, because the mean of its divisors is an integer number (20913254712).

Almost surely, 2^466124421664 is an apocalyptic number.

466124421664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

466124421664 is an abundant number, since it is smaller than the sum of its proper divisors (537711804512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466124421664 is a wasteful number, since it uses less digits than its factorization.

466124421664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608609 (or 3608601 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

It can be divided in two parts, 466124 and 421664, that added together give a palindrome (887788).

The spelling of 466124421664 in words is "four hundred sixty-six billion, one hundred twenty-four million, four hundred twenty-one thousand, six hundred sixty-four".