14534439068160 has 800 divisors, whose sum is σ = 56837358908352. Its totient is φ = 3520581304320.

The previous prime is 14534439068113. The next prime is 14534439068167. The reversal of 14534439068160 is 6186093443541.

It is a happy number.

14534439068160 is a `hidden beast` number, since 1 + 4 + 5 + 34 + 4 + 390 + 68 + 160 = 666.

It is a super-2 number, since 2×14534439068160² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14534439068097 and 14534439068106.

It is not an unprimeable number, because it can be changed into a prime (14534439068167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4258550614 + ... + 4258554026.

Almost surely, 2^{14534439068160} is an apocalyptic number.

14534439068160 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 14534439068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28418679454176).

14534439068160 is an abundant number, since it is smaller than the sum of its proper divisors (42302919840192).

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

14534439068160 is a wasteful number, since it uses less digits than its factorization.

14534439068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5326 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 14534439068160 in words is "fourteen trillion, five hundred thirty-four billion, four hundred thirty-nine million, sixty-eight thousand, one hundred sixty".