14943510253056 has 480 divisors, whose sum is σ = 51361597647360. Its totient is φ = 3776515522560.

The previous prime is 14943510253033. The next prime is 14943510253073. The reversal of 14943510253056 is 65035201534941.

14943510253056 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 14943510252996 and 14943510253014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47981485 + ... + 48291923.

It is an arithmetic number, because the mean of its divisors is an integer number (107003328432).

Almost surely, 2^{14943510253056} is an apocalyptic number.

14943510253056 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 14943510253056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25680798823680).

14943510253056 is an abundant number, since it is smaller than the sum of its proper divisors (36418087394304).

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

14943510253056 is a wasteful number, since it uses less digits than its factorization.

14943510253056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310526 (or 310499 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

Adding to 14943510253056 its reverse (65035201534941), we get a palindrome (79978711787997).

The spelling of 14943510253056 in words is "fourteen trillion, nine hundred forty-three billion, five hundred ten million, two hundred fifty-three thousand, fifty-six".