286084412220672 has 1008 divisors, whose sum is σ = 929183169720960. Its totient is φ = 87347234193408.

The previous prime is 286084412220637. The next prime is 286084412220679. The reversal of 286084412220672 is 276022214480682.

It is a happy number.

286084412220672 is a `hidden beast` number, since 2 + 8 + 60 + 84 + 412 + 2 + 20 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286084412220679) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 295847375133 + ... + 295847376099.

It is an arithmetic number, because the mean of its divisors is an integer number (921808700120).

Almost surely, 2^{286084412220672} 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 286084412220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464591584860480).

286084412220672 is an abundant number, since it is smaller than the sum of its proper divisors (643098757500288).

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

286084412220672 is an equidigital number, since it uses as much as digits as its factorization.

286084412220672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 286084412220672 in words is "two hundred eighty-six trillion, eighty-four billion, four hundred twelve million, two hundred twenty thousand, six hundred seventy-two".