466473374664 has 128 divisors (see below), whose sum is σ = 1287470177280. Its totient is φ = 139664736000.

The previous prime is 466473374663. The next prime is 466473374669.

466473374664 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×466473374664² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 466473374598 and 466473374607.

It is not an unprimeable number, because it can be changed into a prime (466473374663) 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 31 ways as a sum of consecutive naturals, for example, 12967407 + ... + 13003329.

It is an arithmetic number, because the mean of its divisors is an integer number (10058360760).

Almost surely, 2^466473374664 is an apocalyptic number.

466473374664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466473374664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643735088640).

466473374664 is an abundant number, since it is smaller than the sum of its proper divisors (820996802616).

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

466473374664 is a wasteful number, since it uses less digits than its factorization.

466473374664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36531 (or 36527 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 60.

The spelling of 466473374664 in words is "four hundred sixty-six billion, four hundred seventy-three million, three hundred seventy-four thousand, six hundred sixty-four".