18066557952 has 352 divisors, whose sum is σ = 56029501440. Its totient is φ = 5744148480.

The previous prime is 18066557881. The next prime is 18066557969. The reversal of 18066557952 is 25975566081.

18066557952 is a `hidden beast` number, since 1 + 8 + 0 + 6 + 65 + 579 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 91708318 + ... + 91708514.

It is an arithmetic number, because the mean of its divisors is an integer number (159174720).

Almost surely, 2^18066557952 is an apocalyptic number.

18066557952 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 18066557952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28014750720).

18066557952 is an abundant number, since it is smaller than the sum of its proper divisors (37962943488).

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

18066557952 is a wasteful number, since it uses less digits than its factorization.

18066557952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 18066557952 in words is "eighteen billion, sixty-six million, five hundred fifty-seven thousand, nine hundred fifty-two".