286480033744320 has 448 divisors, whose sum is σ = 1088931752576640. Its totient is φ = 70482366038016.

The previous prime is 286480033744291. The next prime is 286480033744391. The reversal of 286480033744320 is 23447330084682.

286480033744320 is a `hidden beast` number, since 2 + 8 + 6 + 480 + 0 + 33 + 74 + 43 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220960992 + ... + 222253728.

It is an arithmetic number, because the mean of its divisors is an integer number (2430651233430).

Almost surely, 2^{286480033744320} is an apocalyptic number.

286480033744320 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 286480033744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544465876288320).

286480033744320 is an abundant number, since it is smaller than the sum of its proper divisors (802451718832320).

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

286480033744320 is a wasteful number, since it uses less digits than its factorization.

286480033744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294749 (or 1294733 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 286480033744320 in words is "two hundred eighty-six trillion, four hundred eighty billion, thirty-three million, seven hundred forty-four thousand, three hundred twenty".