18403745356800 has 1584 divisors, whose sum is σ = 71712055134720. Its totient is φ = 4667610562560.

The previous prime is 18403745356747. The next prime is 18403745356807. The reversal of 18403745356800 is 865354730481.

18403745356800 is a `hidden beast` number, since 1 + 8 + 4 + 0 + 3 + 74 + 5 + 3 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18403745356807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41921970981 + ... + 41921971419.

It is an arithmetic number, because the mean of its divisors is an integer number (45272762080).

Almost surely, 2^{18403745356800} is an apocalyptic number.

18403745356800 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 18403745356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35856027567360).

18403745356800 is an abundant number, since it is smaller than the sum of its proper divisors (53308309777920).

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

18403745356800 is a wasteful number, since it uses less digits than its factorization.

18403745356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 18403745356800 in words is "eighteen trillion, four hundred three billion, seven hundred forty-five million, three hundred fifty-six thousand, eight hundred".