14981321811456 has 1440 divisors, whose sum is σ = 58680226725120. Its totient is φ = 3572962099200.

The previous prime is 14981321811437. The next prime is 14981321811551. The reversal of 14981321811456 is 65411812318941.

It is a happy number.

14981321811456 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 1 + 3 + 2 + 181 + 1 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13731733471 + ... + 13731734561.

It is an arithmetic number, because the mean of its divisors is an integer number (40750157448).

Almost surely, 2^{14981321811456} is an apocalyptic number.

14981321811456 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 14981321811456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29340113362560).

14981321811456 is an abundant number, since it is smaller than the sum of its proper divisors (43698904913664).

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

14981321811456 is a wasteful number, since it uses less digits than its factorization.

14981321811456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1356 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 14981321811456 in words is "fourteen trillion, nine hundred eighty-one billion, three hundred twenty-one million, eight hundred eleven thousand, four hundred fifty-six".