14075225200 has 60 divisors (see below), whose sum is σ = 33876334008. Its totient is φ = 5620000000.

The previous prime is 14075225189. The next prime is 14075225231. The reversal of 14075225200 is 252257041.

14075225200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14075225200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193950 + ... + 256450.

Almost surely, 2^14075225200 is an apocalyptic number.

14075225200 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 14075225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16938167004).

14075225200 is an abundant number, since it is smaller than the sum of its proper divisors (19801108808).

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

14075225200 is a wasteful number, since it uses less digits than its factorization.

14075225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63082 (or 63071 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

It can be divided in two parts, 14075 and 225200, that multiplied together give a square (3169690000 = 56300²).

The spelling of 14075225200 in words is "fourteen billion, seventy-five million, two hundred twenty-five thousand, two hundred".