14681383074624 has 224 divisors, whose sum is σ = 45606561730560. Its totient is φ = 4080145139712.

The previous prime is 14681383074601. The next prime is 14681383074641. The reversal of 14681383074624 is 42647038318641.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181914409 + ... + 181995095.

Almost surely, 2^{14681383074624} is an apocalyptic number.

14681383074624 is a gapful number since it is divisible by the number (14) 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 14681383074624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22803280865280).

14681383074624 is an abundant number, since it is smaller than the sum of its proper divisors (30925178655936).

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

14681383074624 is a wasteful number, since it uses less digits than its factorization.

14681383074624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84405 (or 84395 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 14681383074624 in words is "fourteen trillion, six hundred eighty-one billion, three hundred eighty-three million, seventy-four thousand, six hundred twenty-four".