285162378868224 has 1920 divisors, whose sum is σ = 1043832046473216. Its totient is φ = 77174548070400.

The previous prime is 285162378868181. The next prime is 285162378868247. The reversal of 285162378868224 is 422868873261582.

285162378868224 is a `hidden beast` number, since 2 + 8 + 516 + 2 + 3 + 7 + 8 + 8 + 6 + 82 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66735869352 + ... + 66735873624.

Almost surely, 2^{285162378868224} is an apocalyptic number.

285162378868224 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 285162378868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521916023236608).

285162378868224 is an abundant number, since it is smaller than the sum of its proper divisors (758669667604992).

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

285162378868224 is an equidigital number, since it uses as much as digits as its factorization.

285162378868224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4333 counting only the distinct ones).

The product of its digits is 990904320, while the sum is 72.

The spelling of 285162378868224 in words is "two hundred eighty-five trillion, one hundred sixty-two billion, three hundred seventy-eight million, eight hundred sixty-eight thousand, two hundred twenty-four".