284959977912 has 256 divisors, whose sum is σ = 831897600000. Its totient is φ = 90269562240.

The previous prime is 284959977871. The next prime is 284959977949. The reversal of 284959977912 is 219779959482.

It is a happy number.

284959977912 is a `hidden beast` number, since 28 + 4 + 9 + 599 + 7 + 7 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105266463 + ... + 105269169.

It is an arithmetic number, because the mean of its divisors is an integer number (3249600000).

Almost surely, 2^284959977912 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 284959977912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415948800000).

284959977912 is an abundant number, since it is smaller than the sum of its proper divisors (546937622088).

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

284959977912 is a wasteful number, since it uses less digits than its factorization.

284959977912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3021 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 72.

The spelling of 284959977912 in words is "two hundred eighty-four billion, nine hundred fifty-nine million, nine hundred seventy-seven thousand, nine hundred twelve".