18281696140800 has 1440 divisors, whose sum is σ = 69257234217600. Its totient is φ = 4598786949120.

The previous prime is 18281696140777. The next prime is 18281696140811. The reversal of 18281696140800 is 804169618281.

It is a happy number.

18281696140800 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 16 + 9 + 614 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×18281696140800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29823321294 + ... + 29823321906.

It is an arithmetic number, because the mean of its divisors is an integer number (48095301540).

Almost surely, 2^{18281696140800} is an apocalyptic number.

18281696140800 is a gapful number since it is divisible by the number (10) 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 18281696140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34628617108800).

18281696140800 is an abundant number, since it is smaller than the sum of its proper divisors (50975538076800).

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

18281696140800 is a wasteful number, since it uses less digits than its factorization.

18281696140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 18281696140800 in words is "eighteen trillion, two hundred eighty-one billion, six hundred ninety-six million, one hundred forty thousand, eight hundred".