466454121454664 has 32 divisors (see below), whose sum is σ = 1001684898377280. Its totient is φ = 199480838714304.

The previous prime is 466454121454621. The next prime is 466454121454723.

466454121454664 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×466454121454664³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 466454121454597 and 466454121454606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8918108627 + ... + 8918160930.

It is an arithmetic number, because the mean of its divisors is an integer number (31302653074290).

Almost surely, 2^{466454121454664} is an apocalyptic number.

It is an amenable number.

466454121454664 is an abundant number, since it is smaller than the sum of its proper divisors (535230776922616).

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

466454121454664 is a wasteful number, since it uses less digits than its factorization.

466454121454664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17836270037 (or 17836270033 counting only the distinct ones).

The product of its digits is 265420800, while the sum is 62.

The spelling of 466454121454664 in words is "four hundred sixty-six trillion, four hundred fifty-four billion, one hundred twenty-one million, four hundred fifty-four thousand, six hundred sixty-four".