14013416016 has 50 divisors (see below), whose sum is σ = 40558895322. Its totient is φ = 4671138240.

The previous prime is 14013415973. The next prime is 14013416017. The reversal of 14013416016 is 61061431041.

14013416016 is a `hidden beast` number, since 1 + 4 + 0 + 13 + 41 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13387415616 + 626000400 = 115704^2 + 25020^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013416017) 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 9 ways as a sum of consecutive naturals, for example, 5405115 + ... + 5407706.

Almost surely, 2^14013416016 is an apocalyptic number.

14013416016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14013416016 is an abundant number, since it is smaller than the sum of its proper divisors (26545479306).

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

14013416016 is a wasteful number, since it uses less digits than its factorization.

14013416016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812841 (or 10812826 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 14013416016 its reverse (61061431041), we get a palindrome (75074847057).

The spelling of 14013416016 in words is "fourteen billion, thirteen million, four hundred sixteen thousand, sixteen".