284112805616640 has 7392 divisors, whose sum is σ = 1433365394915328. Its totient is φ = 52500765081600.

The previous prime is 284112805616593. The next prime is 284112805616659. The reversal of 284112805616640 is 46616508211482.

284112805616640 is a `hidden beast` number, since 2 + 8 + 4 + 1 + 12 + 8 + 0 + 5 + 616 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7392).

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

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1274048455569 + ... + 1274048455791.

Almost surely, 2^{284112805616640} is an apocalyptic number.

284112805616640 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 284112805616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716682697457664).

284112805616640 is an abundant number, since it is smaller than the sum of its proper divisors (1149252589298688).

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

284112805616640 is a wasteful number, since it uses less digits than its factorization.

284112805616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 284112805616640 in words is "two hundred eighty-four trillion, one hundred twelve billion, eight hundred five million, six hundred sixteen thousand, six hundred forty".