14713067328960 has 2688 divisors, whose sum is σ = 66927666032640. Its totient is φ = 2659197911040.

The previous prime is 14713067328877. The next prime is 14713067329013. The reversal of 14713067328960 is 6982376031741.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14713067328960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17747969826 + ... + 17747970654.

It is an arithmetic number, because the mean of its divisors is an integer number (24898685280).

Almost surely, 2^{14713067328960} is an apocalyptic number.

14713067328960 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 14713067328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33463833016320).

14713067328960 is an abundant number, since it is smaller than the sum of its proper divisors (52214598703680).

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

14713067328960 is a wasteful number, since it uses less digits than its factorization.

14713067328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 14713067328960 in words is "fourteen trillion, seven hundred thirteen billion, sixty-seven million, three hundred twenty-eight thousand, nine hundred sixty".