286226838144 has 384 divisors, whose sum is σ = 941119058880. Its totient is φ = 82718392320.

The previous prime is 286226838077. The next prime is 286226838173. The reversal of 286226838144 is 441838622682.

286226838144 is a `hidden beast` number, since 2 + 8 + 622 + 6 + 8 + 3 + 8 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175922259 + ... + 175923885.

Almost surely, 2^286226838144 is an apocalyptic number.

286226838144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286226838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470559529440).

286226838144 is an abundant number, since it is smaller than the sum of its proper divisors (654892220736).

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

286226838144 is a wasteful number, since it uses less digits than its factorization.

286226838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2353 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 286226838144 in words is "two hundred eighty-six billion, two hundred twenty-six million, eight hundred thirty-eight thousand, one hundred forty-four".