896617481001216 has 864 divisors, whose sum is σ = 2657398271270400. Its totient is φ = 268167799111680.

The previous prime is 896617481001161. The next prime is 896617481001331. The reversal of 896617481001216 is 612100184716698.

It is a self number, because there is not a number n which added to its sum of digits gives 896617481001216.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 794169601740 + ... + 794169602868.

It is an arithmetic number, because the mean of its divisors is an integer number (3075692443600).

Almost surely, 2^{896617481001216} 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 896617481001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328699135635200).

896617481001216 is an abundant number, since it is smaller than the sum of its proper divisors (1760780790269184).

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

896617481001216 is a wasteful number, since it uses less digits than its factorization.

896617481001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 60.

The spelling of 896617481001216 in words is "eight hundred ninety-six trillion, six hundred seventeen billion, four hundred eighty-one million, one thousand, two hundred sixteen".