8946208718496 has 960 divisors, whose sum is σ = 31489444546560. Its totient is φ = 2437996216320.

The previous prime is 8946208718471. The next prime is 8946208718501. The reversal of 8946208718496 is 6948178026498.

8946208718496 is a `hidden beast` number, since 8 + 9 + 4 + 62 + 0 + 8 + 71 + 8 + 496 = 666.

8946208718496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20660989896 + ... + 20660990328.

It is an arithmetic number, because the mean of its divisors is an integer number (32801504736).

Almost surely, 2^{8946208718496} 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 8946208718496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744722273280).

8946208718496 is an abundant number, since it is smaller than the sum of its proper divisors (22543235828064).

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

8946208718496 is a wasteful number, since it uses less digits than its factorization.

8946208718496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 8946208718496 in words is "eight trillion, nine hundred forty-six billion, two hundred eight million, seven hundred eighteen thousand, four hundred ninety-six".