8666211456 has 192 divisors, whose sum is σ = 28582831680. Its totient is φ = 2468911104.

The previous prime is 8666211409. The next prime is 8666211487. The reversal of 8666211456 is 6541126668.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3200055 + ... + 3202761.

It is an arithmetic number, because the mean of its divisors is an integer number (148868915).

Almost surely, 2^8666211456 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 8666211456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14291415840).

8666211456 is an abundant number, since it is smaller than the sum of its proper divisors (19916620224).

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

8666211456 is a wasteful number, since it uses less digits than its factorization.

8666211456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3116 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 8666211456 is about 93092.4887195524. The cubic root of 8666211456 is about 2054.0440855758.

The spelling of 8666211456 in words is "eight billion, six hundred sixty-six million, two hundred eleven thousand, four hundred fifty-six".