18398105671680 has 1728 divisors, whose sum is σ = 76029801120000. Its totient is φ = 4101377753088.

The previous prime is 18398105671669. The next prime is 18398105671703. The reversal of 18398105671680 is 8617650189381.

18398105671680 is a `hidden beast` number, since 1 + 8 + 3 + 9 + 8 + 1 + 0 + 567 + 1 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 53020477267 + ... + 53020477613.

It is an arithmetic number, because the mean of its divisors is an integer number (43998727500).

Almost surely, 2^{18398105671680} is an apocalyptic number.

18398105671680 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 18398105671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38014900560000).

18398105671680 is an abundant number, since it is smaller than the sum of its proper divisors (57631695448320).

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

18398105671680 is a wasteful number, since it uses less digits than its factorization.

18398105671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 18398105671680 in words is "eighteen trillion, three hundred ninety-eight billion, one hundred five million, six hundred seventy-one thousand, six hundred eighty".