14930603948800 has 216 divisors, whose sum is σ = 37096882647552. Its totient is φ = 5949436416000.

The previous prime is 14930603948707. The next prime is 14930603948801. The reversal of 14930603948800 is 884930603941.

It is not an unprimeable number, because it can be changed into a prime (14930603948801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3963524517 + ... + 3963528283.

It is an arithmetic number, because the mean of its divisors is an integer number (171744827072).

Almost surely, 2^{14930603948800} is an apocalyptic number.

14930603948800 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 14930603948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18548441323776).

14930603948800 is an abundant number, since it is smaller than the sum of its proper divisors (22166278698752).

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

14930603948800 is a wasteful number, since it uses less digits than its factorization.

14930603948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5995 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 14930603948800 in words is "fourteen trillion, nine hundred thirty billion, six hundred three million, nine hundred forty-eight thousand, eight hundred".