8945261799936 has 960 divisors, whose sum is σ = 31663264849920. Its totient is φ = 2216374272000.

The previous prime is 8945261799917. The next prime is 8945261799949. The reversal of 8945261799936 is 6399971625498.

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 95 ways as a sum of consecutive naturals, for example, 1822214250 + ... + 1822219158.

It is an arithmetic number, because the mean of its divisors is an integer number (32982567552).

Almost surely, 2^{8945261799936} 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 8945261799936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15831632424960).

8945261799936 is an abundant number, since it is smaller than the sum of its proper divisors (22718003049984).

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

8945261799936 is a wasteful number, since it uses less digits than its factorization.

8945261799936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5034 counting only the distinct ones).

The product of its digits is 1587237120, while the sum is 78.

The spelling of 8945261799936 in words is "eight trillion, nine hundred forty-five billion, two hundred sixty-one million, seven hundred ninety-nine thousand, nine hundred thirty-six".