284198268672 has 432 divisors, whose sum is σ = 920853722880. Its totient is φ = 83822542848.

The previous prime is 284198268667. The next prime is 284198268677. The reversal of 284198268672 is 276862891482.

284198268672 is a `hidden beast` number, since 28 + 419 + 82 + 68 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (284198268667) and next prime (284198268677).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284198268677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53148303 + ... + 53153649.

It is an arithmetic number, because the mean of its divisors is an integer number (2131605840).

Almost surely, 2^284198268672 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 284198268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460426861440).

284198268672 is an abundant number, since it is smaller than the sum of its proper divisors (636655454208).

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

284198268672 is a wasteful number, since it uses less digits than its factorization.

284198268672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5451 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 284198268672 in words is "two hundred eighty-four billion, one hundred ninety-eight million, two hundred sixty-eight thousand, six hundred seventy-two".