18082443456 has 448 divisors, whose sum is σ = 68085980160. Its totient is φ = 4568555520.

The previous prime is 18082443427. The next prime is 18082443461. The reversal of 18082443456 is 65434428081.

18082443456 is a `hidden beast` number, since 1 + 80 + 82 + 4 + 43 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×18082443456² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4921236 + ... + 4924908.

Almost surely, 2^18082443456 is an apocalyptic number.

18082443456 is a gapful number since it is divisible by the number (16) 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 18082443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34042990080).

18082443456 is an abundant number, since it is smaller than the sum of its proper divisors (50003536704).

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

18082443456 is a wasteful number, since it uses less digits than its factorization.

18082443456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 18082443456 in words is "eighteen billion, eighty-two million, four hundred forty-three thousand, four hundred fifty-six".