14490773168256 has 2304 divisors, whose sum is σ = 56430948188160. Its totient is φ = 3621252096000.

The previous prime is 14490773168173. The next prime is 14490773168297. The reversal of 14490773168256 is 65286137709441.

14490773168256 is a `hidden beast` number, since 1 + 4 + 490 + 7 + 7 + 3 + 16 + 82 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 14490773168193 and 14490773168202.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 114100576065 + ... + 114100576191.

It is an arithmetic number, because the mean of its divisors is an integer number (24492599040).

It is a 1-persistent number, because it is pandigital, but 2⋅14490773168256 = 28981546336512 is not.

Almost surely, 2^{14490773168256} is an apocalyptic number.

14490773168256 is a gapful number since it is divisible by the number (16) 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 14490773168256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28215474094080).

14490773168256 is an abundant number, since it is smaller than the sum of its proper divisors (41940175019904).

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

14490773168256 is a wasteful number, since it uses less digits than its factorization.

14490773168256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 14490773168256 in words is "fourteen trillion, four hundred ninety billion, seven hundred seventy-three million, one hundred sixty-eight thousand, two hundred fifty-six".