182664000000 has 840 divisors, whose sum is σ = 685720910160. Its totient is φ = 46771200000.

The previous prime is 182663999933. The next prime is 182664000017. The reversal of 182664000000 is 466281.

182664000000 is a `hidden beast` number, since 18 + 2 + 6 + 640 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×182664000000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3095999971 + ... + 3096000029.

Almost surely, 2^182664000000 is an apocalyptic number.

182664000000 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 182664000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342860455080).

182664000000 is an abundant number, since it is smaller than the sum of its proper divisors (503056910160).

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

182664000000 is an frugal number, since it uses more digits than its factorization.

182664000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 182664000000 its reverse (466281), we get a palindrome (182664466281).

The spelling of 182664000000 in words is "one hundred eighty-two billion, six hundred sixty-four million", and thus it is an aban number.