14456655200 has 144 divisors (see below), whose sum is σ = 38386199376. Its totient is φ = 5284608000.

The previous prime is 14456655197. The next prime is 14456655203. The reversal of 14456655200 is 255665441.

It is an interprime number because it is at equal distance from previous prime (14456655197) and next prime (14456655203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14456655203) 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, 1043519 + ... + 1057281.

It is an arithmetic number, because the mean of its divisors is an integer number (266570829).

Almost surely, 2^14456655200 is an apocalyptic number.

14456655200 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 14456655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19193099688).

14456655200 is an abundant number, since it is smaller than the sum of its proper divisors (23929544176).

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

14456655200 is a wasteful number, since it uses less digits than its factorization.

14456655200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13897 (or 13884 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 14456655200 in words is "fourteen billion, four hundred fifty-six million, six hundred fifty-five thousand, two hundred".