14873583545856 has 1440 divisors, whose sum is σ = 58080890799360. Its totient is φ = 3623960051712.

The previous prime is 14873583545851. The next prime is 14873583545857. The reversal of 14873583545856 is 65854538537841.

14873583545856 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 3 + 5 + 8 + 35 + 4 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14873583545851) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1677404335 + ... + 1677413201.

It is an arithmetic number, because the mean of its divisors is an integer number (40333951944).

Almost surely, 2^{14873583545856} is an apocalyptic number.

14873583545856 is a gapful number since it is divisible by the number (16) 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 14873583545856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29040445399680).

14873583545856 is an abundant number, since it is smaller than the sum of its proper divisors (43207307253504).

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

14873583545856 is a wasteful number, since it uses less digits than its factorization.

14873583545856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8964 (or 8938 counting only the distinct ones).

The product of its digits is 1935360000, while the sum is 72.

The spelling of 14873583545856 in words is "fourteen trillion, eight hundred seventy-three billion, five hundred eighty-three million, five hundred forty-five thousand, eight hundred fifty-six".