14541234480000 has 640 divisors, whose sum is σ = 55359099417600. Its totient is φ = 3752559360000.

The previous prime is 14541234479983. The next prime is 14541234480007. The reversal of 14541234480000 is 8443214541.

14541234480000 is a `hidden beast` number, since 1 + 4 + 54 + 123 + 4 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×14541234480000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14541234480007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66851419 + ... + 67068581.

It is an arithmetic number, because the mean of its divisors is an integer number (86498592840).

Almost surely, 2^{14541234480000} is an apocalyptic number.

14541234480000 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 14541234480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27679549708800).

14541234480000 is an abundant number, since it is smaller than the sum of its proper divisors (40817864937600).

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

14541234480000 is an equidigital number, since it uses as much as digits as its factorization.

14541234480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217237 (or 217204 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 14541234480000 its reverse (8443214541), we get a palindrome (14549677694541).

The spelling of 14541234480000 in words is "fourteen trillion, five hundred forty-one billion, two hundred thirty-four million, four hundred eighty thousand".