18348205107680 has 192 divisors, whose sum is σ = 51698117818368. Its totient is φ = 6016828815360.

The previous prime is 18348205107667. The next prime is 18348205107697. The reversal of 18348205107680 is 8670150284381.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 511601429 + ... + 511637291.

It is an arithmetic number, because the mean of its divisors is an integer number (269261030304).

Almost surely, 2^{18348205107680} is an apocalyptic number.

18348205107680 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 18348205107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25849058909184).

18348205107680 is an abundant number, since it is smaller than the sum of its proper divisors (33349912710688).

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

18348205107680 is a wasteful number, since it uses less digits than its factorization.

18348205107680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55769 (or 55761 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The spelling of 18348205107680 in words is "eighteen trillion, three hundred forty-eight billion, two hundred five million, one hundred seven thousand, six hundred eighty".