285146805312 has 168 divisors, whose sum is σ = 833373671832. Its totient is φ = 93192192000.

The previous prime is 285146805287. The next prime is 285146805323. The reversal of 285146805312 is 213508641582.

285146805312 is a `hidden beast` number, since 2 + 8 + 51 + 4 + 68 + 0 + 531 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11684745216 + 273462060096 = 108096^2 + 522936^2 .

It is a super-4 number, since 4×285146805312⁴ (a number of 47 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11125312 + ... + 11150912.

Almost surely, 2^285146805312 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 285146805312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416686835916).

285146805312 is an abundant number, since it is smaller than the sum of its proper divisors (548226866520).

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

285146805312 is a wasteful number, since it uses less digits than its factorization.

285146805312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25997 (or 25984 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 285146805312 in words is "two hundred eighty-five billion, one hundred forty-six million, eight hundred five thousand, three hundred twelve".