14054513200 has 270 divisors, whose sum is σ = 42542666604. Its totient is φ = 4446973440.

The previous prime is 14054513131. The next prime is 14054513227. The reversal of 14054513200 is 231545041.

It is a happy number.

14054513200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 53 ways as a sum of consecutive naturals, for example, 3310279 + ... + 3314521.

Almost surely, 2^14054513200 is an apocalyptic number.

14054513200 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 14054513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21271333302).

14054513200 is an abundant number, since it is smaller than the sum of its proper divisors (28488153404).

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

14054513200 is a wasteful number, since it uses less digits than its factorization.

14054513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 14054513200 in words is "fourteen billion, fifty-four million, five hundred thirteen thousand, two hundred".