14013329016384 has 448 divisors, whose sum is σ = 43833641080320. Its totient is φ = 4374851420160.

The previous prime is 14013329016373. The next prime is 14013329016403. The reversal of 14013329016384 is 48361092331041.

14013329016384 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 3 + 3 + 2 + 9 + 0 + 1 + 638 + 4 = 666.

It is a super-3 number, since 3×14013329016384³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8560371214 + ... + 8560372850.

It is an arithmetic number, because the mean of its divisors is an integer number (97842948840).

Almost surely, 2^{14013329016384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013329016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21916820540160).

14013329016384 is an abundant number, since it is smaller than the sum of its proper divisors (29820312063936).

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

14013329016384 is a wasteful number, since it uses less digits than its factorization.

14013329016384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 14013329016384 in words is "fourteen trillion, thirteen billion, three hundred twenty-nine million, sixteen thousand, three hundred eighty-four".