14475042748800 has 768 divisors, whose sum is σ = 56014248192000. Its totient is φ = 3640362393600.

The previous prime is 14475042748783. The next prime is 14475042748879. The reversal of 14475042748800 is 884724057441.

It is a happy number.

14475042748800 is a `hidden beast` number, since 1 + 447 + 50 + 4 + 2 + 74 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 366057030 + ... + 366096570.

It is an arithmetic number, because the mean of its divisors is an integer number (72935219000).

Almost surely, 2^{14475042748800} is an apocalyptic number.

14475042748800 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 14475042748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28007124096000).

14475042748800 is an abundant number, since it is smaller than the sum of its proper divisors (41539205443200).

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

14475042748800 is a wasteful number, since it uses less digits than its factorization.

14475042748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39816 (or 39793 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 54.

The spelling of 14475042748800 in words is "fourteen trillion, four hundred seventy-five billion, forty-two million, seven hundred forty-eight thousand, eight hundred".