12284538793884 has 1344 divisors, whose sum is σ = 42493120266240. Its totient is φ = 3024294174720.

The previous prime is 12284538793847. The next prime is 12284538793903. The reversal of 12284538793884 is 48839783548221.

12284538793884 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 4 + 538 + 7 + 9 + 3 + 8 + 84 = 666.

It is a super-2 number, since 2×12284538793884² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 16533699217 + ... + 16533699959.

It is an arithmetic number, because the mean of its divisors is an integer number (31616904960).

Almost surely, 2^{12284538793884} is an apocalyptic number.

12284538793884 is a gapful number since it is divisible by the number (14) 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 12284538793884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21246560133120).

12284538793884 is an abundant number, since it is smaller than the sum of its proper divisors (30208581472356).

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

12284538793884 is a wasteful number, since it uses less digits than its factorization.

12284538793884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 885 counting only the distinct ones).

The product of its digits is 743178240, while the sum is 72.

The spelling of 12284538793884 in words is "twelve trillion, two hundred eighty-four billion, five hundred thirty-eight million, seven hundred ninety-three thousand, eight hundred eighty-four".