14965712081328 has 160 divisors (see below), whose sum is σ = 43113244861440. Its totient is φ = 4445627535360.

The previous prime is 14965712081273. The next prime is 14965712081357. The reversal of 14965712081328 is 82318021756941.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28750026 + ... + 29265942.

It is an arithmetic number, because the mean of its divisors is an integer number (269457780384).

It is a 1-persistent number, because it is pandigital, but 2⋅14965712081328 = 29931424162656 is not.

Almost surely, 2^{14965712081328} 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 14965712081328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21556622430720).

14965712081328 is an abundant number, since it is smaller than the sum of its proper divisors (28147532780112).

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

14965712081328 is a wasteful number, since it uses less digits than its factorization.

14965712081328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517835 (or 517829 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 14965712081328 in words is "fourteen trillion, nine hundred sixty-five billion, seven hundred twelve million, eighty-one thousand, three hundred twenty-eight".