284222856960 has 720 divisors, whose sum is σ = 1212892724736. Its totient is φ = 62136999936.

The previous prime is 284222856949. The next prime is 284222856971. The reversal of 284222856960 is 69658222482.

It is a happy number.

284222856960 is a `hidden beast` number, since 28 + 422 + 2 + 85 + 69 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (284222856949) and next prime (284222856971).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 284222856897 and 284222856906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16683967 + ... + 16700993.

Almost surely, 2^284222856960 is an apocalyptic number.

284222856960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284222856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606446362368).

284222856960 is an abundant number, since it is smaller than the sum of its proper divisors (928669867776).

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

284222856960 is a wasteful number, since it uses less digits than its factorization.

284222856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17090 (or 17067 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 284222856960 in words is "two hundred eighty-four billion, two hundred twenty-two million, eight hundred fifty-six thousand, nine hundred sixty".