18548407683072 has 768 divisors, whose sum is σ = 58505439283200. Its totient is φ = 5800240742400.

The previous prime is 18548407682971. The next prime is 18548407683119. The reversal of 18548407683072 is 27038670484581.

It is a happy number.

18548407683072 is a `hidden beast` number, since 1 + 8 + 5 + 484 + 0 + 7 + 6 + 83 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 118142724018 + ... + 118142724174.

It is an arithmetic number, because the mean of its divisors is an integer number (76178957400).

Almost surely, 2^{18548407683072} is an apocalyptic number.

18548407683072 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 18548407683072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29252719641600).

18548407683072 is an abundant number, since it is smaller than the sum of its proper divisors (39957031600128).

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

18548407683072 is an frugal number, since it uses more digits than its factorization.

18548407683072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 18548407683072 in words is "eighteen trillion, five hundred forty-eight billion, four hundred seven million, six hundred eighty-three thousand, seventy-two".