285168813950448 has 240 divisors, whose sum is σ = 820350090233856. Its totient is φ = 92407804853760.

The previous prime is 285168813950443. The next prime is 285168813950473. The reversal of 285168813950448 is 844059318861582.

285168813950448 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 6 + 8 + 81 + 39 + 504 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285168813950441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49655023065 + ... + 49655028807.

Almost surely, 2^{285168813950448} 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 285168813950448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410175045116928).

285168813950448 is an abundant number, since it is smaller than the sum of its proper divisors (535181276283408).

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

285168813950448 is a wasteful number, since it uses less digits than its factorization.

285168813950448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12172 (or 12163 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 72.

The spelling of 285168813950448 in words is "two hundred eighty-five trillion, one hundred sixty-eight billion, eight hundred thirteen million, nine hundred fifty thousand, four hundred forty-eight".