896841417491712 has 864 divisors, whose sum is σ = 3332805327371520. Its totient is φ = 225179025408000.

The previous prime is 896841417491683. The next prime is 896841417491809. The reversal of 896841417491712 is 217194714148698.

896841417491712 is a `hidden beast` number, since 8 + 9 + 6 + 84 + 1 + 41 + 7 + 491 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 792270762 + ... + 793401942.

Almost surely, 2^{896841417491712} is an apocalyptic number.

896841417491712 is a gapful number since it is divisible by the number (82) 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 896841417491712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666402663685760).

896841417491712 is an abundant number, since it is smaller than the sum of its proper divisors (2435963909879808).

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

896841417491712 is a wasteful number, since it uses less digits than its factorization.

896841417491712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131371 (or 1131354 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 72.

The spelling of 896841417491712 in words is "eight hundred ninety-six trillion, eight hundred forty-one billion, four hundred seventeen million, four hundred ninety-one thousand, seven hundred twelve".