14365377216 has 280 divisors, whose sum is σ = 43515655920. Its totient is φ = 4685119488.

The previous prime is 14365377121. The next prime is 14365377217. The reversal of 14365377216 is 61277356341.

14365377216 is a `hidden beast` number, since 1 + 4 + 3 + 65 + 377 + 216 = 666.

It is not an unprimeable number, because it can be changed into a prime (14365377217) 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, 80253415 + ... + 80253593.

Almost surely, 2^14365377216 is an apocalyptic number.

14365377216 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 14365377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21757827960).

14365377216 is an abundant number, since it is smaller than the sum of its proper divisors (29150278704).

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

14365377216 is a wasteful number, since it uses less digits than its factorization.

14365377216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 434 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 14365377216 in words is "fourteen billion, three hundred sixty-five million, three hundred seventy-seven thousand, two hundred sixteen".