14545350144000 has 3744 divisors, whose sum is σ = 64816948332864. Its totient is φ = 3223270195200.

The previous prime is 14545350143957. The next prime is 14545350144011. The reversal of 14545350144000 is 44105354541.

14545350144000 is a `hidden beast` number, since 14 + 5 + 453 + 50 + 144 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 632406527989 + ... + 632406528011.

It is an arithmetic number, because the mean of its divisors is an integer number (17312219106).

Almost surely, 2^{14545350144000} is an apocalyptic number.

14545350144000 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 14545350144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32408474166432).

14545350144000 is an abundant number, since it is smaller than the sum of its proper divisors (50271598188864).

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

14545350144000 is an equidigital number, since it uses as much as digits as its factorization.

14545350144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 14545350144000 its reverse (44105354541), we get a palindrome (14589455498541).

The spelling of 14545350144000 in words is "fourteen trillion, five hundred forty-five billion, three hundred fifty million, one hundred forty-four thousand".