18282862080 has 640 divisors, whose sum is σ = 76837939200. Its totient is φ = 4031741952.

The previous prime is 18282862079. The next prime is 18282862093. The reversal of 18282862080 is 8026828281.

18282862080 is a `hidden beast` number, since 18 + 2 + 8 + 2 + 8 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×18282862080³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 14030709 + ... + 14032011.

It is an arithmetic number, because the mean of its divisors is an integer number (120059280).

Almost surely, 2^18282862080 is an apocalyptic number.

18282862080 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 18282862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38418969600).

18282862080 is an abundant number, since it is smaller than the sum of its proper divisors (58555077120).

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

18282862080 is a wasteful number, since it uses less digits than its factorization.

18282862080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 18282862080 in words is "eighteen billion, two hundred eighty-two million, eight hundred sixty-two thousand, eighty".