18348501895680 has 1280 divisors, whose sum is σ = 69658376578560. Its totient is φ = 4075919769600.

The previous prime is 18348501895679. The next prime is 18348501895681. The reversal of 18348501895680 is 8659810584381.

It is an interprime number because it is at equal distance from previous prime (18348501895679) and next prime (18348501895681).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (18348501895681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3716526172 + ... + 3716531108.

It is an arithmetic number, because the mean of its divisors is an integer number (54420606702).

Almost surely, 2^{18348501895680} is an apocalyptic number.

18348501895680 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 18348501895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34829188289280).

18348501895680 is an abundant number, since it is smaller than the sum of its proper divisors (51309874682880).

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

18348501895680 is a wasteful number, since it uses less digits than its factorization.

18348501895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 66.

The spelling of 18348501895680 in words is "eighteen trillion, three hundred forty-eight billion, five hundred one million, eight hundred ninety-five thousand, six hundred eighty".