286387663104 has 81 divisors (see below), whose sum is σ = 825800304693. Its totient is φ = 95453991936.

The previous prime is 286387663087. The next prime is 286387663127. The reversal of 286387663104 is 401366783682.

The square root of 286387663104 is 535152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 87114703104 + 199272960000 = 295152^2 + 446400^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25681722 + ... + 25692870.

Almost surely, 2^286387663104 is an apocalyptic number.

286387663104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

286387663104 is the 535152-nd square number.

It is an amenable number.

286387663104 is an abundant number, since it is smaller than the sum of its proper divisors (539412641589).

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

286387663104 is an frugal number, since it uses more digits than its factorization.

286387663104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22320 (or 11154 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 286387663104 in words is "two hundred eighty-six billion, three hundred eighty-seven million, six hundred sixty-three thousand, one hundred four".