14074684416 has 528 divisors, whose sum is σ = 47984955200. Its totient is φ = 4084826112.

The previous prime is 14074684367. The next prime is 14074684417. The reversal of 14074684416 is 61448647041.

14074684416 is a `hidden beast` number, since 140 + 7 + 4 + 68 + 441 + 6 = 666.

It is a super-4 number, since 4×14074684416⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (14074684417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61461390 + ... + 61461618.

Almost surely, 2^14074684416 is an apocalyptic number.

14074684416 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 14074684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23992477600).

14074684416 is an abundant number, since it is smaller than the sum of its proper divisors (33910270784).

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

14074684416 is a wasteful number, since it uses less digits than its factorization.

14074684416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14074684416 in words is "fourteen billion, seventy-four million, six hundred eighty-four thousand, four hundred sixteen".