66464555546466 has 48 divisors (see below), whose sum is σ = 179540617583808. Its totient is φ = 17263520920800.

The previous prime is 66464555546449. The next prime is 66464555546491.

66464555546466 is a `hidden beast` number, since 6 + 6 + 4 + 6 + 4 + 5 + 5 + 554 + 6 + 4 + 66 = 666.

66464555546466 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66464555546394 and 66464555546403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23977111005 + ... + 23977113776.

It is an arithmetic number, because the mean of its divisors is an integer number (3740429532996).

Almost surely, 2^{66464555546466} is an apocalyptic number.

66464555546466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66464555546466 is an abundant number, since it is smaller than the sum of its proper divisors (113076062037342).

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

66464555546466 is a wasteful number, since it uses less digits than its factorization.

66464555546466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47954224807 (or 47954224804 counting only the distinct ones).

The product of its digits is 7464960000, while the sum is 72.

The spelling of 66464555546466 in words is "sixty-six trillion, four hundred sixty-four billion, five hundred fifty-five million, five hundred forty-six thousand, four hundred sixty-six".