14068771200 has 768 divisors, whose sum is σ = 57098131200. Its totient is φ = 3354624000.

The previous prime is 14068771193. The next prime is 14068771207. The reversal of 14068771200 is 217786041.

It is an interprime number because it is at equal distance from previous prime (14068771193) and next prime (14068771207).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14068771207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107395135 + ... + 107395265.

It is an arithmetic number, because the mean of its divisors is an integer number (74346525).

Almost surely, 2^14068771200 is an apocalyptic number.

14068771200 is a gapful number since it is divisible by the number (10) 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 14068771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28549065600).

14068771200 is an abundant number, since it is smaller than the sum of its proper divisors (43029360000).

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

14068771200 is a wasteful number, since it uses less digits than its factorization.

14068771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 14068771200 in words is "fourteen billion, sixty-eight million, seven hundred seventy-one thousand, two hundred".