859490305344 has 840 divisors, whose sum is σ = 2977669122120. Its totient is φ = 244482416640.

The previous prime is 859490305343. The next prime is 859490305447. The reversal of 859490305344 is 443503094958.

859490305344 is a `hidden beast` number, since 8 + 594 + 9 + 0 + 3 + 0 + 5 + 3 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 367090574400 + 492399730944 = 605880^2 + 701712^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (859490305343) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 673053634 + ... + 673054910.

It is an arithmetic number, because the mean of its divisors is an integer number (3544844193).

Almost surely, 2^859490305344 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 859490305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488834561060).

859490305344 is an abundant number, since it is smaller than the sum of its proper divisors (2118178816776).

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

859490305344 is a wasteful number, since it uses less digits than its factorization.

859490305344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 859490305344 in words is "eight hundred fifty-nine billion, four hundred ninety million, three hundred five thousand, three hundred forty-four".