14468947200 has 162 divisors, whose sum is σ = 51729957734. Its totient is φ = 3858370560.

The previous prime is 14468947189. The next prime is 14468947201. The reversal of 14468947200 is 274986441.

It can be written as a sum of positive squares in 3 ways, for example, as 4824135936 + 9644811264 = 69456^2 + 98208^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14468947201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67999 + ... + 183198.

Almost surely, 2^14468947200 is an apocalyptic number.

14468947200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14468947200 is an abundant number, since it is smaller than the sum of its proper divisors (37261010534).

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

14468947200 is a wasteful number, since it uses less digits than its factorization.

14468947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251229 (or 251207 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14468947200 in words is "fourteen billion, four hundred sixty-eight million, nine hundred forty-seven thousand, two hundred".