14678676036864 has 576 divisors, whose sum is σ = 50857728768000. Its totient is φ = 4088455741440.

The previous prime is 14678676036833. The next prime is 14678676036917. The reversal of 14678676036864 is 46863067687641.

14678676036864 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 8 + 6 + 7 + 603 + 6 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 14678676036792 and 14678676036801.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3925827507 + ... + 3925831245.

It is an arithmetic number, because the mean of its divisors is an integer number (88294668000).

Almost surely, 2^{14678676036864} is an apocalyptic number.

14678676036864 is a gapful number since it is divisible by the number (14) 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 14678676036864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25428864384000).

14678676036864 is an abundant number, since it is smaller than the sum of its proper divisors (36179052731136).

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

14678676036864 is a wasteful number, since it uses less digits than its factorization.

14678676036864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5791 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 14678676036864 in words is "fourteen trillion, six hundred seventy-eight billion, six hundred seventy-six million, thirty-six thousand, eight hundred sixty-four".