284085813114873 has 576 divisors, whose sum is σ = 556544298885120. Its totient is φ = 136369702656000.

The previous prime is 284085813114863. The next prime is 284085813114913. The reversal of 284085813114873 is 378411318580482.

284085813114873 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 8 + 581 + 3 + 1 + 1 + 48 + 7 + 3 = 666.

It is not a de Polignac number, because 284085813114873 - 2⁵ = 284085813114841 is a prime.

It is a super-2 number, since 2×284085813114873² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 284085813114873.

It is not an unprimeable number, because it can be changed into a prime (284085813114823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 155153365068 + ... + 155153366898.

It is an arithmetic number, because the mean of its divisors is an integer number (966222741120).

Almost surely, 2^{284085813114873} is an apocalyptic number.

284085813114873 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

284085813114873 is a deficient number, since it is larger than the sum of its proper divisors (272458485770247).

284085813114873 is a wasteful number, since it uses less digits than its factorization.

284085813114873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 284085813114873 in words is "two hundred eighty-four trillion, eighty-five billion, eight hundred thirteen million, one hundred fourteen thousand, eight hundred seventy-three".