664531868135466 has 96 divisors (see below), whose sum is σ = 1556885625984000. Its totient is φ = 204137923524480.

The previous prime is 664531868135453. The next prime is 664531868135497.

664531868135466 is a `hidden beast` number, since 6 + 6 + 4 + 5 + 3 + 1 + 8 + 68 + 13 + 546 + 6 = 666.

664531868135466 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×664531868135466² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 664531868135394 and 664531868135403.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55255036 + ... + 66198056.

It is an arithmetic number, because the mean of its divisors is an integer number (16217558604000).

Almost surely, 2^{664531868135466} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664531868135466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778442812992000).

664531868135466 is an abundant number, since it is smaller than the sum of its proper divisors (892353757848534).

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

664531868135466 is a wasteful number, since it uses less digits than its factorization.

664531868135466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10947884 (or 10947881 counting only the distinct ones).

The product of its digits is 1791590400, while the sum is 72.

The spelling of 664531868135466 in words is "six hundred sixty-four trillion, five hundred thirty-one billion, eight hundred sixty-eight million, one hundred thirty-five thousand, four hundred sixty-six".