286768316352 has 224 divisors, whose sum is σ = 881016678400. Its totient is φ = 80628867072.

The previous prime is 286768316287. The next prime is 286768316399. The reversal of 286768316352 is 253613867682.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 286768316292 and 286768316301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33228774 + ... + 33237402.

Almost surely, 2^286768316352 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 286768316352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440508339200).

286768316352 is an abundant number, since it is smaller than the sum of its proper divisors (594248362048).

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

286768316352 is a wasteful number, since it uses less digits than its factorization.

286768316352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9043 (or 9033 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The spelling of 286768316352 in words is "two hundred eighty-six billion, seven hundred sixty-eight million, three hundred sixteen thousand, three hundred fifty-two".