14945011200000 has 1872 divisors, whose sum is σ = 63246853942272. Its totient is φ = 3328819200000.

The previous prime is 14945011199999. The next prime is 14945011200023. The reversal of 14945011200000 is 211054941.

14945011200000 is a `hidden beast` number, since 1 + 4 + 9 + 450 + 1 + 1 + 200 + 0 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 34675199785 + ... + 34675200215.

It is an arithmetic number, because the mean of its divisors is an integer number (33785712576).

Almost surely, 2^{14945011200000} is an apocalyptic number.

14945011200000 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 14945011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31623426971136).

14945011200000 is an abundant number, since it is smaller than the sum of its proper divisors (48301842742272).

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

14945011200000 is an frugal number, since it uses more digits than its factorization.

14945011200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 14945011200000 its reverse (211054941), we get a palindrome (14945222254941).

The spelling of 14945011200000 in words is "fourteen trillion, nine hundred forty-five billion, eleven million, two hundred thousand".