285845668416 has 1008 divisors, whose sum is σ = 1116168090240. Its totient is φ = 70207948800.

The previous prime is 285845668373. The next prime is 285845668457. The reversal of 285845668416 is 614866548582.

285845668416 is a `hidden beast` number, since 2 + 8 + 58 + 4 + 566 + 8 + 4 + 16 = 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 528365106 + ... + 528365646.

Almost surely, 2^285845668416 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 285845668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558084045120).

285845668416 is an abundant number, since it is smaller than the sum of its proper divisors (830322421824).

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

285845668416 is a wasteful number, since it uses less digits than its factorization.

285845668416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 583 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

It can be divided in two parts, 28584 and 5668416, that added together give a triangular number (5697000 = T₃₃₇₅).

The spelling of 285845668416 in words is "two hundred eighty-five billion, eight hundred forty-five million, six hundred sixty-eight thousand, four hundred sixteen".