896403618000 has 320 divisors, whose sum is σ = 3503039005440. Its totient is φ = 217309824000.

The previous prime is 896403617917. The next prime is 896403618101. The reversal of 896403618000 is 816304698.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 160549 + ... + 1348548.

It is an arithmetic number, because the mean of its divisors is an integer number (10946996892).

Almost surely, 2^896403618000 is an apocalyptic number.

896403618000 is a gapful number since it is divisible by the number (80) 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 896403618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751519502720).

896403618000 is an abundant number, since it is smaller than the sum of its proper divisors (2606635387440).

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

896403618000 is a wasteful number, since it uses less digits than its factorization.

896403618000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509140 (or 1509118 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 896403618000 in words is "eight hundred ninety-six billion, four hundred three million, six hundred eighteen thousand".