14134595769216 has 320 divisors, whose sum is σ = 45488117043600. Its totient is φ = 4331050352640.

The previous prime is 14134595769211. The next prime is 14134595769251. The reversal of 14134595769216 is 61296759543141.

14134595769216 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 4 + 59 + 576 + 9 + 2 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14134595769211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32265375 + ... + 32700513.

Almost surely, 2^{14134595769216} is an apocalyptic number.

14134595769216 is a gapful number since it is divisible by the number (16) 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 14134595769216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22744058521800).

14134595769216 is an abundant number, since it is smaller than the sum of its proper divisors (31353521274384).

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

14134595769216 is a wasteful number, since it uses less digits than its factorization.

14134595769216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435419 (or 435398 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 14134595769216 in words is "fourteen trillion, one hundred thirty-four billion, five hundred ninety-five million, seven hundred sixty-nine thousand, two hundred sixteen".