14485008384000 has 3456 divisors, whose sum is σ = 68816603784240. Its totient is φ = 3009871872000.

The previous prime is 14485008383987. The next prime is 14485008384001. The reversal of 14485008384000 is 48380058441.

It is a Jordan-Polya number, since it can be written as 12! ⋅ 7! ⋅ 3!.

14485008384000 is a `hidden beast` number, since 1 + 448 + 50 + 0 + 83 + 84 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14485008384001) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1316818943995 + ... + 1316818944005.

Almost surely, 2^{14485008384000} is an apocalyptic number.

14485008384000 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 14485008384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34408301892120).

14485008384000 is an abundant number, since it is smaller than the sum of its proper divisors (54331595400240).

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

14485008384000 is an frugal number, since it uses more digits than its factorization.

14485008384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 14485008384000 in words is "fourteen trillion, four hundred eighty-five billion, eight million, three hundred eighty-four thousand".