868226806944 has 288 divisors, whose sum is σ = 2902145500800. Its totient is φ = 241044480000.

The previous prime is 868226806897. The next prime is 868226806963. The reversal of 868226806944 is 449608622868.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 20725732 + ... + 20767580.

It is an arithmetic number, because the mean of its divisors is an integer number (10076894100).

Almost surely, 2^868226806944 is an apocalyptic number.

868226806944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868226806944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451072750400).

868226806944 is an abundant number, since it is smaller than the sum of its proper divisors (2033918693856).

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

868226806944 is a wasteful number, since it uses less digits than its factorization.

868226806944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42164 (or 42153 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 868226806944 in words is "eight hundred sixty-eight billion, two hundred twenty-six million, eight hundred six thousand, nine hundred forty-four".