8466268626648 has 192 divisors, whose sum is σ = 26469054443520. Its totient is φ = 2394578592000.

The previous prime is 8466268626527. The next prime is 8466268626653.

8466268626648 is a `hidden beast` number, since 8 + 4 + 66 + 268 + 6 + 266 + 48 = 666.

8466268626648 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 429161761 + ... + 429181487.

It is an arithmetic number, because the mean of its divisors is an integer number (137859658560).

Almost surely, 2^{8466268626648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8466268626648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13234527221760).

8466268626648 is an abundant number, since it is smaller than the sum of its proper divisors (18002785816872).

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

8466268626648 is a wasteful number, since it uses less digits than its factorization.

8466268626648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28278 (or 28271 counting only the distinct ones).

The product of its digits is 1528823808, while the sum is 72.

The spelling of 8466268626648 in words is "eight trillion, four hundred sixty-six billion, two hundred sixty-eight million, six hundred twenty-six thousand, six hundred forty-eight".