12284623503360 has 1200 divisors, whose sum is σ = 48341971915776. Its totient is φ = 2965748318208.

The previous prime is 12284623503353. The next prime is 12284623503433. The reversal of 12284623503360 is 6330532648221.

12284623503360 is a `hidden beast` number, since 1 + 2 + 2 + 84 + 6 + 2 + 3 + 503 + 3 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4571871937 + ... + 4571874623.

Almost surely, 2^{12284623503360} is an apocalyptic number.

12284623503360 is a gapful number since it is divisible by the number (10) 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 12284623503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24170985957888).

12284623503360 is an abundant number, since it is smaller than the sum of its proper divisors (36057348412416).

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

12284623503360 is an equidigital number, since it uses as much as digits as its factorization.

12284623503360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 12284623503360 in words is "twelve trillion, two hundred eighty-four billion, six hundred twenty-three million, five hundred three thousand, three hundred sixty".