13946846716320 has 768 divisors, whose sum is σ = 53879841792000. Its totient is φ = 2963799539712.

The previous prime is 13946846716267. The next prime is 13946846716349. The reversal of 13946846716320 is 2361764864931.

It is a super-3 number, since 3×13946846716320³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 127 ways as a sum of consecutive naturals, for example, 405780096 + ... + 405814464.

It is an arithmetic number, because the mean of its divisors is an integer number (70156044000).

Almost surely, 2^{13946846716320} is an apocalyptic number.

13946846716320 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 13946846716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26939920896000).

13946846716320 is an abundant number, since it is smaller than the sum of its proper divisors (39932995075680).

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

13946846716320 is a wasteful number, since it uses less digits than its factorization.

13946846716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34565 (or 34557 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 13946846716320 in words is "thirteen trillion, nine hundred forty-six billion, eight hundred forty-six million, seven hundred sixteen thousand, three hundred twenty".