13329714646560 has 768 divisors, whose sum is σ = 48867699686400. Its totient is φ = 3026794315776.

The previous prime is 13329714646559. The next prime is 13329714646597. The reversal of 13329714646560 is 6564641792331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13329714646560.

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, 5864369584 + ... + 5864371856.

It is an arithmetic number, because the mean of its divisors is an integer number (63629817300).

Almost surely, 2^{13329714646560} is an apocalyptic number.

13329714646560 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 13329714646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24433849843200).

13329714646560 is an abundant number, since it is smaller than the sum of its proper divisors (35537985039840).

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

13329714646560 is a wasteful number, since it uses less digits than its factorization.

13329714646560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 13329714646560 in words is "thirteen trillion, three hundred twenty-nine billion, seven hundred fourteen million, six hundred forty-six thousand, five hundred sixty".