284866481160 has 192 divisors, whose sum is σ = 939811092480. Its totient is φ = 74818275840.

The previous prime is 284866481111. The next prime is 284866481171. The reversal of 284866481160 is 61184668482.

It is a happy number.

284866481160 is a `hidden beast` number, since 2 + 8 + 48 + 66 + 481 + 1 + 60 = 666.

It is a super-2 number, since 2×284866481160² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 284866481097 and 284866481106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27778594 + ... + 27788846.

It is an arithmetic number, because the mean of its divisors is an integer number (4894849440).

Almost surely, 2^284866481160 is an apocalyptic number.

284866481160 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 284866481160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469905546240).

284866481160 is an abundant number, since it is smaller than the sum of its proper divisors (654944611320).

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

284866481160 is a wasteful number, since it uses less digits than its factorization.

284866481160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11428 (or 11421 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 284866481160 in words is "two hundred eighty-four billion, eight hundred sixty-six million, four hundred eighty-one thousand, one hundred sixty".