896914944000 has 1040 divisors, whose sum is σ = 3395308419360. Its totient is φ = 236489932800.

The previous prime is 896914943971. The next prime is 896914944011. The reversal of 896914944000 is 449419698.

It is a happy number.

896914944000 is a `hidden beast` number, since 8 + 96 + 9 + 149 + 4 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10077695956 + ... + 10077696044.

It is an arithmetic number, because the mean of its divisors is an integer number (3264719634).

Almost surely, 2^896914944000 is an apocalyptic number.

896914944000 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 896914944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697654209680).

896914944000 is an abundant number, since it is smaller than the sum of its proper divisors (2498393475360).

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

896914944000 is an frugal number, since it uses more digits than its factorization.

896914944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 896914944000 in words is "eight hundred ninety-six billion, nine hundred fourteen million, nine hundred forty-four thousand".