8456946816 has 256 divisors, whose sum is σ = 24675840000. Its totient is φ = 2556334080.

The previous prime is 8456946811. The next prime is 8456946863. The reversal of 8456946816 is 6186496548.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (8456946811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31438330 + ... + 31438598.

It is an arithmetic number, because the mean of its divisors is an integer number (96390000).

Almost surely, 2^8456946816 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 8456946816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920000).

8456946816 is an abundant number, since it is smaller than the sum of its proper divisors (16218893184).

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

8456946816 is a wasteful number, since it uses less digits than its factorization.

8456946816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The square root of 8456946816 is about 91961.6594891589. The cubic root of 8456946816 is about 2037.3760651076.

The spelling of 8456946816 in words is "eight billion, four hundred fifty-six million, nine hundred forty-six thousand, eight hundred sixteen".