286242381315072 has 1056 divisors, whose sum is σ = 1096227319971840. Its totient is φ = 73057115013120.

The previous prime is 286242381315029. The next prime is 286242381315119. The reversal of 286242381315072 is 270513183242682.

286242381315072 is a `hidden beast` number, since 2 + 8 + 6 + 2 + 4 + 23 + 81 + 31 + 507 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 545702913 + ... + 546227199.

Almost surely, 2^{286242381315072} 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 286242381315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548113659985920).

286242381315072 is an abundant number, since it is smaller than the sum of its proper divisors (809984938656768).

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

286242381315072 is a wasteful number, since it uses less digits than its factorization.

286242381315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524374 (or 524343 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 286242381315072 in words is "two hundred eighty-six trillion, two hundred forty-two billion, three hundred eighty-one million, three hundred fifteen thousand, seventy-two".