14945703327360 has 1024 divisors, whose sum is σ = 57569666918400. Its totient is φ = 3642661601280.

The previous prime is 14945703327299. The next prime is 14945703327371. The reversal of 14945703327360 is 6372330754941.

14945703327360 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 570 + 3 + 3 + 2 + 7 + 3 + 60 = 666.

14945703327360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14945703327297 and 14945703327306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11262775017 + ... + 11262776343.

It is an arithmetic number, because the mean of its divisors is an integer number (56220377850).

Almost surely, 2^{14945703327360} is an apocalyptic number.

14945703327360 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 14945703327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28784833459200).

14945703327360 is an abundant number, since it is smaller than the sum of its proper divisors (42623963591040).

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

14945703327360 is a wasteful number, since it uses less digits than its factorization.

14945703327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 14945703327360 in words is "fourteen trillion, nine hundred forty-five billion, seven hundred three million, three hundred twenty-seven thousand, three hundred sixty".