166464000000 has 819 divisors, whose sum is σ = 638473878211. Its totient is φ = 41779200000.

The previous prime is 166463999957. The next prime is 166464000019. The reversal of 166464000000 is 464661.

The square root of 166464000000 is 408000.

It is a perfect power (a square), and thus also a powerful number.

166464000000 is a `hidden beast` number, since 16 + 6 + 4 + 640 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 163655847936 + 2808152064 = 404544^2 + 52992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 9791999992 + ... + 9792000008.

Almost surely, 2^166464000000 is an apocalyptic number.

166464000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166464000000 is the 408000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166464000000

166464000000 is an abundant number, since it is smaller than the sum of its proper divisors (472009878211).

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

166464000000 is an frugal number, since it uses more digits than its factorization.

166464000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 166464000000 its reverse (464661), we get a palindrome (166464464661).

The spelling of 166464000000 in words is "one hundred sixty-six billion, four hundred sixty-four million", and thus it is an aban number.