18187730505984 has 1728 divisors, whose sum is σ = 60732159989760. Its totient is φ = 4800601128960.

The previous prime is 18187730505977. The next prime is 18187730506021. The reversal of 18187730505984 is 48950503778181.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105131390122 + ... + 105131390294.

It is an arithmetic number, because the mean of its divisors is an integer number (35145925920).

Almost surely, 2^{18187730505984} 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 18187730505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30366079994880).

18187730505984 is an abundant number, since it is smaller than the sum of its proper divisors (42544429483776).

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

18187730505984 is a wasteful number, since it uses less digits than its factorization.

18187730505984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 66.

The spelling of 18187730505984 in words is "eighteen trillion, one hundred eighty-seven billion, seven hundred thirty million, five hundred five thousand, nine hundred eighty-four".