14469280209000 has 448 divisors, whose sum is σ = 51479120609280. Its totient is φ = 3804116400000.

The previous prime is 14469280208941. The next prime is 14469280209023. The reversal of 14469280209000 is 90208296441.

14469280209000 is a `hidden beast` number, since 1 + 4 + 469 + 2 + 80 + 20 + 90 + 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 111 ways as a sum of consecutive naturals, for example, 51619225 + ... + 51898775.

It is an arithmetic number, because the mean of its divisors is an integer number (114908751360).

Almost surely, 2^{14469280209000} is an apocalyptic number.

14469280209000 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 14469280209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25739560304640).

14469280209000 is an abundant number, since it is smaller than the sum of its proper divisors (37009840400280).

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

14469280209000 is an equidigital number, since it uses as much as digits as its factorization.

14469280209000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279661 (or 279632 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 14469280209000 in words is "fourteen trillion, four hundred sixty-nine billion, two hundred eighty million, two hundred nine thousand".