896385394656 has 288 divisors, whose sum is σ = 2673277719840. Its totient is φ = 284643459072.

The previous prime is 896385394637. The next prime is 896385394661. The reversal of 896385394656 is 656493583698.

896385394656 is a `hidden beast` number, since 8 + 9 + 6 + 38 + 539 + 4 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99938140 + ... + 99947108.

It is an arithmetic number, because the mean of its divisors is an integer number (9282214305).

Almost surely, 2^896385394656 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 896385394656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336638859920).

896385394656 is an abundant number, since it is smaller than the sum of its proper divisors (1776892325184).

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

896385394656 is a wasteful number, since it uses less digits than its factorization.

896385394656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9218 (or 9207 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 72.

It can be divided in two parts, 8963853 and 94656, that added together give a palindrome (9058509).

The spelling of 896385394656 in words is "eight hundred ninety-six billion, three hundred eighty-five million, three hundred ninety-four thousand, six hundred fifty-six".