14953432000 has 224 divisors, whose sum is σ = 40573391040. Its totient is φ = 5425459200.

The previous prime is 14953431947. The next prime is 14953432057. The reversal of 14953432000 is 23435941.

14953432000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 6134782 + ... + 6137218.

It is an arithmetic number, because the mean of its divisors is an integer number (181131210).

Almost surely, 2^14953432000 is an apocalyptic number.

14953432000 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 14953432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20286695520).

14953432000 is an abundant number, since it is smaller than the sum of its proper divisors (25619959040).

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

14953432000 is a wasteful number, since it uses less digits than its factorization.

14953432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 14953432000 its reverse (23435941), we get a palindrome (14976867941).

The spelling of 14953432000 in words is "fourteen billion, nine hundred fifty-three million, four hundred thirty-two thousand".