286438220319264 has 576 divisors, whose sum is σ = 857142459371520. Its totient is φ = 83230272921600.

The previous prime is 286438220319239. The next prime is 286438220319281. The reversal of 286438220319264 is 462913022834682.

It is a junction number, because it is equal to n+sod(n) for n = 286438220319198 and 286438220319207.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9291178602 + ... + 9291209430.

It is an arithmetic number, because the mean of its divisors is an integer number (1488094547520).

Almost surely, 2^{286438220319264} is an apocalyptic number.

286438220319264 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 286438220319264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428571229685760).

286438220319264 is an abundant number, since it is smaller than the sum of its proper divisors (570704239052256).

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

286438220319264 is a wasteful number, since it uses less digits than its factorization.

286438220319264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31105 (or 31066 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 60.

The spelling of 286438220319264 in words is "two hundred eighty-six trillion, four hundred thirty-eight billion, two hundred twenty million, three hundred nineteen thousand, two hundred sixty-four".