285489313344 has 315 divisors, whose sum is σ = 872243044563. Its totient is φ = 92329113600.

The previous prime is 285489313321. The next prime is 285489313363. The reversal of 285489313344 is 443313984582.

The square root of 285489313344 is 534312.

It is a perfect power (a square), and thus also a powerful number.

285489313344 is a `hidden beast` number, since 2 + 8 + 548 + 93 + 1 + 3 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 256125063744 + 29364249600 = 506088^2 + 171360^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1577288934 + ... + 1577289114.

Almost surely, 2^285489313344 is an apocalyptic number.

285489313344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

285489313344 is the 534312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285489313344

285489313344 is an abundant number, since it is smaller than the sum of its proper divisors (586753731219).

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

285489313344 is an frugal number, since it uses more digits than its factorization.

285489313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 227 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 285489313344 in words is "two hundred eighty-five billion, four hundred eighty-nine million, three hundred thirteen thousand, three hundred forty-four".