18561984402192 has 240 divisors, whose sum is σ = 60858576801792. Its totient is φ = 4820743952640.

The previous prime is 18561984402179. The next prime is 18561984402217. The reversal of 18561984402192 is 29120448916581.

It is a super-2 number, since 2×18561984402192² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 257830233 + ... + 257902215.

Almost surely, 2^{18561984402192} is an apocalyptic number.

18561984402192 is a gapful number since it is divisible by the number (12) 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 18561984402192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30429288400896).

18561984402192 is an abundant number, since it is smaller than the sum of its proper divisors (42296592399600).

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

18561984402192 is a wasteful number, since it uses less digits than its factorization.

18561984402192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81986 (or 81973 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 18561984402192 in words is "eighteen trillion, five hundred sixty-one billion, nine hundred eighty-four million, four hundred two thousand, one hundred ninety-two".