14046068736 has 432 divisors, whose sum is σ = 49010255280. Its totient is φ = 4013162496.

The previous prime is 14046068731. The next prime is 14046068741. The reversal of 14046068736 is 63786064041.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14046068736 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 606 + 8 + 7 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (14046068731) and next prime (14046068741).

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 14046068691 and 14046068700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14046068731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2006581245 + ... + 2006581251.

It is an arithmetic number, because the mean of its divisors is an integer number (113449665).

Almost surely, 2^14046068736 is an apocalyptic number.

14046068736 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 14046068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24505127640).

14046068736 is an abundant number, since it is smaller than the sum of its proper divisors (34964186544).

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

14046068736 is an frugal number, since it uses more digits than its factorization.

14046068736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 14046068736 in words is "fourteen billion, forty-six million, sixty-eight thousand, seven hundred thirty-six".