284949029952 has 224 divisors, whose sum is σ = 867586621440. Its totient is φ = 91614343680.

The previous prime is 284949029941. The next prime is 284949029977. The reversal of 284949029952 is 259920949482.

284949029952 is a `hidden beast` number, since 2 + 8 + 4 + 9 + 490 + 2 + 99 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 284949029952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16436713 + ... + 16454039.

It is an arithmetic number, because the mean of its divisors is an integer number (3873154560).

Almost surely, 2^284949029952 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 284949029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433793310720).

284949029952 is an abundant number, since it is smaller than the sum of its proper divisors (582637591488).

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

284949029952 is a wasteful number, since it uses less digits than its factorization.

284949029952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17686 (or 17670 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 284949029952 in words is "two hundred eighty-four billion, nine hundred forty-nine million, twenty-nine thousand, nine hundred fifty-two".