466224303422664 has 64 divisors (see below), whose sum is σ = 1298674940112000. Its totient is φ = 154975209468480.

The previous prime is 466224303422659. The next prime is 466224303422677.

466224303422664 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 2 + 4 + 30 + 342 + 266 + 4 = 666.

466224303422664 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×466224303422664² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 466224303422664.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3006114447 + ... + 3006269534.

It is an arithmetic number, because the mean of its divisors is an integer number (20291795939250).

Almost surely, 2^{466224303422664} is an apocalyptic number.

It is an amenable number.

466224303422664 is an abundant number, since it is smaller than the sum of its proper divisors (832450636689336).

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

466224303422664 is a wasteful number, since it uses less digits than its factorization.

466224303422664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6012384355 (or 6012384345 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 54.

The spelling of 466224303422664 in words is "four hundred sixty-six trillion, two hundred twenty-four billion, three hundred three million, four hundred twenty-two thousand, six hundred sixty-four".