66488888466 has 192 divisors, whose sum is σ = 195027146496. Its totient is φ = 15940869120.

The previous prime is 66488888461. The next prime is 66488888483.

It is a happy number.

66488888466 is a `hidden beast` number, since 6 + 6 + 4 + 8 + 88 + 88 + 466 = 666.

66488888466 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66488888394 and 66488888403.

It is not an unprimeable number, because it can be changed into a prime (66488888461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2164930 + ... + 2195426.

It is an arithmetic number, because the mean of its divisors is an integer number (1015766388).

Almost surely, 2^66488888466 is an apocalyptic number.

66488888466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66488888466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97513573248).

66488888466 is an abundant number, since it is smaller than the sum of its proper divisors (128538258030).

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

66488888466 is a wasteful number, since it uses less digits than its factorization.

66488888466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30558 (or 30533 counting only the distinct ones).

The product of its digits is 679477248, while the sum is 72.

The spelling of 66488888466 in words is "sixty-six billion, four hundred eighty-eight million, eight hundred eighty-eight thousand, four hundred sixty-six".