14681437056 has 512 divisors, whose sum is σ = 51846681600. Its totient is φ = 4031078400.

The previous prime is 14681437049. The next prime is 14681437061. The reversal of 14681437056 is 65073418641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30146445 + ... + 30146931.

It is an arithmetic number, because the mean of its divisors is an integer number (101263050).

Almost surely, 2^14681437056 is an apocalyptic number.

14681437056 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 14681437056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25923340800).

14681437056 is an abundant number, since it is smaller than the sum of its proper divisors (37165244544).

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

14681437056 is a wasteful number, since it uses less digits than its factorization.

14681437056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14681437056 in words is "fourteen billion, six hundred eighty-one million, four hundred thirty-seven thousand, fifty-six".