285449615568 has 480 divisors, whose sum is σ = 929846736000. Its totient is φ = 84168419328.

The previous prime is 285449615513. The next prime is 285449615593. The reversal of 285449615568 is 865516944582.

285449615568 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 4 + 9 + 61 + 5 + 568 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218399971 + ... + 218401277.

It is an arithmetic number, because the mean of its divisors is an integer number (1937180700).

Almost surely, 2^285449615568 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 285449615568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464923368000).

285449615568 is an abundant number, since it is smaller than the sum of its proper divisors (644397120432).

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

285449615568 is a wasteful number, since it uses less digits than its factorization.

285449615568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1503 counting only the distinct ones).

The product of its digits is 82944000, while the sum is 63.

The spelling of 285449615568 in words is "two hundred eighty-five billion, four hundred forty-nine million, six hundred fifteen thousand, five hundred sixty-eight".