14129888808384 has 336 divisors, whose sum is σ = 42762823084800. Its totient is φ = 4448443650048.

The previous prime is 14129888808359. The next prime is 14129888808421. The reversal of 14129888808384 is 48380888892141.

14129888808384 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 98 + 88 + 80 + 8 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8781782172 + ... + 8781783780.

It is an arithmetic number, because the mean of its divisors is an integer number (127270306800).

Almost surely, 2^{14129888808384} 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 14129888808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21381411542400).

14129888808384 is an abundant number, since it is smaller than the sum of its proper divisors (28632934276416).

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

14129888808384 is a wasteful number, since it uses less digits than its factorization.

14129888808384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 226492416, while the sum is 72.

The spelling of 14129888808384 in words is "fourteen trillion, one hundred twenty-nine billion, eight hundred eighty-eight million, eight hundred eight thousand, three hundred eighty-four".