18534559474080 has 1152 divisors, whose sum is σ = 71809418903040. Its totient is φ = 4322868756480.

The previous prime is 18534559474049. The next prime is 18534559474087. The reversal of 18534559474080 is 8047495543581.

It is a happy number.

18534559474080 is a `hidden beast` number, since 1 + 8 + 5 + 3 + 4 + 559 + 4 + 74 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18534559473999 and 18534559474017.

It is not an unprimeable number, because it can be changed into a prime (18534559474087) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4351854991 + ... + 4351859249.

It is an arithmetic number, because the mean of its divisors is an integer number (62334565020).

Almost surely, 2^{18534559474080} is an apocalyptic number.

18534559474080 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 18534559474080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35904709451520).

18534559474080 is an abundant number, since it is smaller than the sum of its proper divisors (53274859428960).

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

18534559474080 is a wasteful number, since it uses less digits than its factorization.

18534559474080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 18534559474080 in words is "eighteen trillion, five hundred thirty-four billion, five hundred fifty-nine million, four hundred seventy-four thousand, eighty".