284533849488672 has 288 divisors, whose sum is σ = 926221177994112. Its totient is φ = 81164812603392.

The previous prime is 284533849488649. The next prime is 284533849488743. The reversal of 284533849488672 is 276884948335482.

284533849488672 is a `hidden beast` number, since 2 + 8 + 4 + 5 + 3 + 38 + 49 + 488 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 284533849488591 and 284533849488600.

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, 4363113538 + ... + 4363178750.

It is an arithmetic number, because the mean of its divisors is an integer number (3216045756924).

Almost surely, 2^{284533849488672} 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 284533849488672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463110588997056).

284533849488672 is an abundant number, since it is smaller than the sum of its proper divisors (641687328505440).

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

284533849488672 is a wasteful number, since it uses less digits than its factorization.

284533849488672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68680 (or 68669 counting only the distinct ones).

The product of its digits is 17836277760, while the sum is 81.

The spelling of 284533849488672 in words is "two hundred eighty-four trillion, five hundred thirty-three billion, eight hundred forty-nine million, four hundred eighty-eight thousand, six hundred seventy-two".