14976632718768 has 640 divisors, whose sum is σ = 48284649584640. Its totient is φ = 3908653056000.

The previous prime is 14976632718767. The next prime is 14976632718823. The reversal of 14976632718768 is 86781723667941.

It is a self number, because there is not a number n which added to its sum of digits gives 14976632718768.

It is not an unprimeable number, because it can be changed into a prime (14976632718767) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 4892723958 + ... + 4892727018.

It is an arithmetic number, because the mean of its divisors is an integer number (75444764976).

Almost surely, 2^{14976632718768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14976632718768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24142324792320).

14976632718768 is an abundant number, since it is smaller than the sum of its proper divisors (33308016865872).

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

14976632718768 is a wasteful number, since it uses less digits than its factorization.

14976632718768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3511 counting only the distinct ones).

The product of its digits is 1024192512, while the sum is 75.

The spelling of 14976632718768 in words is "fourteen trillion, nine hundred seventy-six billion, six hundred thirty-two million, seven hundred eighteen thousand, seven hundred sixty-eight".