18103416289728 has 448 divisors, whose sum is σ = 61469186688000. Its totient is φ = 4564848476160.

The previous prime is 18103416289681. The next prime is 18103416289729. The reversal of 18103416289728 is 82798261430181.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×18103416289728³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18103416289729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245569738 + ... + 245643446.

It is an arithmetic number, because the mean of its divisors is an integer number (137208006000).

Almost surely, 2^{18103416289728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18103416289728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30734593344000).

18103416289728 is an abundant number, since it is smaller than the sum of its proper divisors (43365770398272).

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

18103416289728 is a wasteful number, since it uses less digits than its factorization.

18103416289728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74228 (or 74218 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 18103416289728 in words is "eighteen trillion, one hundred three billion, four hundred sixteen million, two hundred eighty-nine thousand, seven hundred twenty-eight".