1284345909000 has 2304 divisors, whose sum is σ = 5824245772800. Its totient is φ = 260789760000.

The previous prime is 1284345908969. The next prime is 1284345909013. The reversal of 1284345909000 is 9095434821.

1284345909000 is a `hidden beast` number, since 1 + 28 + 4 + 34 + 590 + 9 + 0 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 11365892944 + ... + 11365893056.

It is an arithmetic number, because the mean of its divisors is an integer number (2527884450).

Almost surely, 2^{1284345909000} is an apocalyptic number.

1284345909000 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 1284345909000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912122886400).

1284345909000 is an abundant number, since it is smaller than the sum of its proper divisors (4539899863800).

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

1284345909000 is a wasteful number, since it uses less digits than its factorization.

1284345909000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1284345909000 in words is "one trillion, two hundred eighty-four billion, three hundred forty-five million, nine hundred nine thousand".