8966741464000 has 112 divisors (see below), whose sum is σ = 22223151306720. Its totient is φ = 3583948185600.

The previous prime is 8966741463887. The next prime is 8966741464003. The reversal of 8966741464000 is 4641476698.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8966741464003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10027216 + ... + 10884784.

It is an arithmetic number, because the mean of its divisors is an integer number (198420993810).

Almost surely, 2^{8966741464000} is an apocalyptic number.

8966741464000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8966741464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11111575653360).

8966741464000 is an abundant number, since it is smaller than the sum of its proper divisors (13256409842720).

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

8966741464000 is a wasteful number, since it uses less digits than its factorization.

8966741464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858903 (or 858883 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 8966741464000 in words is "eight trillion, nine hundred sixty-six billion, seven hundred forty-one million, four hundred sixty-four thousand".