18504563848320 has 512 divisors, whose sum is σ = 64886883840000. Its totient is φ = 4448308838400.

The previous prime is 18504563848301. The next prime is 18504563848343. The reversal of 18504563848320 is 2384836540581.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1985676621 + ... + 1985685939.

It is an arithmetic number, because the mean of its divisors is an integer number (126732195000).

Almost surely, 2^{18504563848320} is an apocalyptic number.

18504563848320 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 18504563848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32443441920000).

18504563848320 is an abundant number, since it is smaller than the sum of its proper divisors (46382319991680).

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

18504563848320 is a wasteful number, since it uses less digits than its factorization.

18504563848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10132 (or 10120 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 18504563848320 in words is "eighteen trillion, five hundred four billion, five hundred sixty-three million, eight hundred forty-eight thousand, three hundred twenty".