8834318848656 has 720 divisors, whose sum is σ = 30300150666240. Its totient is φ = 2351044362240.

The previous prime is 8834318848643. The next prime is 8834318848697. The reversal of 8834318848656 is 6568488134388.

8834318848656 is a `hidden beast` number, since 8 + 8 + 34 + 31 + 88 + 486 + 5 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4149514600 + ... + 4149516728.

It is an arithmetic number, because the mean of its divisors is an integer number (42083542592).

Almost surely, 2^{8834318848656} 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 8834318848656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15150075333120).

8834318848656 is an abundant number, since it is smaller than the sum of its proper divisors (21465831817584).

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

8834318848656 is a wasteful number, since it uses less digits than its factorization.

8834318848656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2306 counting only the distinct ones).

The product of its digits is 849346560, while the sum is 72.

The spelling of 8834318848656 in words is "eight trillion, eight hundred thirty-four billion, three hundred eighteen million, eight hundred forty-eight thousand, six hundred fifty-six".