285963465312 has 1008 divisors, whose sum is σ = 1045610143200. Its totient is φ = 76563615744.

The previous prime is 285963465301. The next prime is 285963465317. The reversal of 285963465312 is 213564369582.

It is a happy number.

285963465312 is a `hidden beast` number, since 2 + 8 + 5 + 9 + 63 + 46 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (285963465317) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1919217814 + ... + 1919217962.

It is an arithmetic number, because the mean of its divisors is an integer number (1037311650).

Almost surely, 2^285963465312 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 285963465312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522805071600).

285963465312 is an abundant number, since it is smaller than the sum of its proper divisors (759646677888).

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

285963465312 is a wasteful number, since it uses less digits than its factorization.

285963465312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 257 counting only the distinct ones).

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

The spelling of 285963465312 in words is "two hundred eighty-five billion, nine hundred sixty-three million, four hundred sixty-five thousand, three hundred twelve".