286814067267640 has 128 divisors (see below), whose sum is σ = 709234401669120. Its totient is φ = 103520495232000.

The previous prime is 286814067267577. The next prime is 286814067267649. The reversal of 286814067267640 is 46762760418682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286814067267649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442794649 + ... + 443441911.

It is an arithmetic number, because the mean of its divisors is an integer number (5540893763040).

Almost surely, 2^{286814067267640} is an apocalyptic number.

286814067267640 is a gapful number since it is divisible by the number (20) 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 286814067267640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354617200834560).

286814067267640 is an abundant number, since it is smaller than the sum of its proper divisors (422420334401480).

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

286814067267640 is a wasteful number, since it uses less digits than its factorization.

286814067267640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654773 (or 654769 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 67.

The spelling of 286814067267640 in words is "two hundred eighty-six trillion, eight hundred fourteen billion, sixty-seven million, two hundred sixty-seven thousand, six hundred forty".