284610331872 has 144 divisors (see below), whose sum is σ = 826968647232. Its totient is φ = 92808069120.

The previous prime is 284610331829. The next prime is 284610331877. The reversal of 284610331872 is 278133016482.

284610331872 is a `hidden beast` number, since 2 + 8 + 461 + 0 + 3 + 3 + 187 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284610331877) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42242488 + ... + 42249224.

It is an arithmetic number, because the mean of its divisors is an integer number (5742837828).

Almost surely, 2^284610331872 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 284610331872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413484323616).

284610331872 is an abundant number, since it is smaller than the sum of its proper divisors (542358315360).

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

284610331872 is a wasteful number, since it uses less digits than its factorization.

284610331872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9921 (or 9910 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 284610331872 in words is "two hundred eighty-four billion, six hundred ten million, three hundred thirty-one thousand, eight hundred seventy-two".