14468073984 has 960 divisors, whose sum is σ = 56426388480. Its totient is φ = 3622993920.

The previous prime is 14468073947. The next prime is 14468074007. The reversal of 14468073984 is 48937086441.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14468073984.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272982502 + ... + 272982554.

It is an arithmetic number, because the mean of its divisors is an integer number (58777488).

Almost surely, 2^14468073984 is an apocalyptic number.

14468073984 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 14468073984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28213194240).

14468073984 is an abundant number, since it is smaller than the sum of its proper divisors (41958314496).

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

14468073984 is a wasteful number, since it uses less digits than its factorization.

14468073984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 14468073984 in words is "fourteen billion, four hundred sixty-eight million, seventy-three thousand, nine hundred eighty-four".