8629445984256 has 672 divisors, whose sum is σ = 26744211728640. Its totient is φ = 2782459330560.

The previous prime is 8629445984239. The next prime is 8629445984321. The reversal of 8629445984256 is 6524895449268.

8629445984256 is a `hidden beast` number, since 8 + 6 + 2 + 9 + 4 + 4 + 598 + 4 + 25 + 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121541492701 + ... + 121541492771.

It is an arithmetic number, because the mean of its divisors is an integer number (39797934120).

Almost surely, 2^{8629445984256} 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 8629445984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13372105864320).

8629445984256 is an abundant number, since it is smaller than the sum of its proper divisors (18114765744384).

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

8629445984256 is an frugal number, since it uses more digits than its factorization.

8629445984256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 129 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 8629445984256 in words is "eight trillion, six hundred twenty-nine billion, four hundred forty-five million, nine hundred eighty-four thousand, two hundred fifty-six".