14878483585056 has 864 divisors, whose sum is σ = 59076567164160. Its totient is φ = 3498780966912.

The previous prime is 14878483584977. The next prime is 14878483585079. The reversal of 14878483585056 is 65058538487841.

14878483585056 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 84 + 8 + 35 + 8 + 505 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59130745 + ... + 59381831.

It is an arithmetic number, because the mean of its divisors is an integer number (68375656440).

Almost surely, 2^{14878483585056} is an apocalyptic number.

14878483585056 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 14878483585056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29538283582080).

14878483585056 is an abundant number, since it is smaller than the sum of its proper divisors (44198083579104).

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

14878483585056 is a wasteful number, since it uses less digits than its factorization.

14878483585056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251166 (or 251148 counting only the distinct ones).

The product of its (nonzero) digits is 1032192000, while the sum is 72.

The spelling of 14878483585056 in words is "fourteen trillion, eight hundred seventy-eight billion, four hundred eighty-three million, five hundred eighty-five thousand, fifty-six".