14530067200 has 324 divisors, whose sum is σ = 40957222320. Its totient is φ = 5093580800.

The previous prime is 14530067191. The next prime is 14530067291. The reversal of 14530067200 is 276003541.

It is a super-2 number, since 2×14530067200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22457277 + ... + 22457923.

It is an arithmetic number, because the mean of its divisors is an integer number (126411180).

Almost surely, 2^14530067200 is an apocalyptic number.

14530067200 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 14530067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20478611160).

14530067200 is an abundant number, since it is smaller than the sum of its proper divisors (26427155120).

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

14530067200 is a wasteful number, since it uses less digits than its factorization.

14530067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 14530067200 in words is "fourteen billion, five hundred thirty million, sixty-seven thousand, two hundred".