284365226855008 has 144 divisors (see below), whose sum is σ = 616688478907200. Its totient is φ = 128980832448000.

The previous prime is 284365226854991. The next prime is 284365226855053. The reversal of 284365226855008 is 800558622563482.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1037166003 + ... + 1037440141.

It is an arithmetic number, because the mean of its divisors is an integer number (4282558881300).

Almost surely, 2^{284365226855008} 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 284365226855008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308344239453600).

284365226855008 is an abundant number, since it is smaller than the sum of its proper divisors (332323252052192).

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

284365226855008 is a wasteful number, since it uses less digits than its factorization.

284365226855008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277485 (or 277464 counting only the distinct ones).

The product of its (nonzero) digits is 221184000, while the sum is 64.

The spelling of 284365226855008 in words is "two hundred eighty-four trillion, three hundred sixty-five billion, two hundred twenty-six million, eight hundred fifty-five thousand, eight".