14234875200 has 1680 divisors, whose sum is σ = 69147074304. Its totient is φ = 2786918400.

The previous prime is 14234875199. The next prime is 14234875201. The reversal of 14234875200 is 257843241.

It is a happy number.

14234875200 is a `hidden beast` number, since 1 + 42 + 348 + 75 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (14234875199) and next prime (14234875201).

It is a tau number, because it is divible by the number of its divisors (1680).

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 (14234875201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 200491165 + ... + 200491235.

Almost surely, 2^14234875200 is an apocalyptic number.

14234875200 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 14234875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34573537152).

14234875200 is an abundant number, since it is smaller than the sum of its proper divisors (54912199104).

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

14234875200 is a wasteful number, since it uses less digits than its factorization.

14234875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 14234875200 in words is "fourteen billion, two hundred thirty-four million, eight hundred seventy-five thousand, two hundred".