286478494848 has 1024 divisors, whose sum is σ = 1075181184000. Its totient is φ = 73096888320.

The previous prime is 286478494843. The next prime is 286478494867. The reversal of 286478494848 is 848494874682.

It is a happy number.

286478494848 is a `hidden beast` number, since 2 + 8 + 64 + 7 + 84 + 9 + 484 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (286478494843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2091083836 + ... + 2091083972.

It is an arithmetic number, because the mean of its divisors is an integer number (1049981625).

Almost surely, 2^286478494848 is an apocalyptic number.

286478494848 is a gapful number since it is divisible by the number (28) 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 286478494848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537590592000).

286478494848 is an abundant number, since it is smaller than the sum of its proper divisors (788702689152).

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

286478494848 is a wasteful number, since it uses less digits than its factorization.

286478494848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 332 counting only the distinct ones).

The product of its digits is 792723456, while the sum is 72.

The spelling of 286478494848 in words is "two hundred eighty-six billion, four hundred seventy-eight million, four hundred ninety-four thousand, eight hundred forty-eight".