18066284460 has 288 divisors, whose sum is σ = 63877911552. Its totient is φ = 4048012800.

The previous prime is 18066284459. The next prime is 18066284471. The reversal of 18066284460 is 6448266081.

18066284460 is a `hidden beast` number, since 18 + 0 + 6 + 628 + 4 + 4 + 6 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 13885810 + ... + 13887110.

It is an arithmetic number, because the mean of its divisors is an integer number (221798304).

Almost surely, 2^18066284460 is an apocalyptic number.

18066284460 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 18066284460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31938955776).

18066284460 is an abundant number, since it is smaller than the sum of its proper divisors (45811627092).

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

18066284460 is a wasteful number, since it uses less digits than its factorization.

18066284460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 18066284460 in words is "eighteen billion, sixty-six million, two hundred eighty-four thousand, four hundred sixty".