8945659418976 has 288 divisors, whose sum is σ = 29636392181760. Its totient is φ = 2506799757312.

The previous prime is 8945659418939. The next prime is 8945659419017. The reversal of 8945659418976 is 6798149565498.

8945659418976 is a `hidden beast` number, since 8 + 9 + 4 + 5 + 6 + 594 + 18 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8945659418895 and 8945659418904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26173281 + ... + 26512863.

It is an arithmetic number, because the mean of its divisors is an integer number (102904139520).

Almost surely, 2^{8945659418976} 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 8945659418976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14818196090880).

8945659418976 is an abundant number, since it is smaller than the sum of its proper divisors (20690732762784).

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

8945659418976 is a wasteful number, since it uses less digits than its factorization.

8945659418976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339858 (or 339847 counting only the distinct ones).

The product of its digits is 4702924800, while the sum is 81.

The spelling of 8945659418976 in words is "eight trillion, nine hundred forty-five billion, six hundred fifty-nine million, four hundred eighteen thousand, nine hundred seventy-six".