14869917421408 has 192 divisors, whose sum is σ = 35599553256960. Its totient is φ = 5978813202432.

The previous prime is 14869917421313. The next prime is 14869917421417. The reversal of 14869917421408 is 80412471996841.

It is a super-2 number, since 2×14869917421408² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14869917421408.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 53772391 + ... + 54048217.

It is an arithmetic number, because the mean of its divisors is an integer number (185414339880).

Almost surely, 2^{14869917421408} 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 14869917421408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17799776628480).

14869917421408 is an abundant number, since it is smaller than the sum of its proper divisors (20729635835552).

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

14869917421408 is a wasteful number, since it uses less digits than its factorization.

14869917421408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276109 (or 276101 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 64.

The spelling of 14869917421408 in words is "fourteen trillion, eight hundred sixty-nine billion, nine hundred seventeen million, four hundred twenty-one thousand, four hundred eight".