166193467200 has 420 divisors, whose sum is σ = 625805031852. Its totient is φ = 43235942400.

The previous prime is 166193467163. The next prime is 166193467243. The reversal of 166193467200 is 2764391661.

166193467200 is a `hidden beast` number, since 1 + 6 + 619 + 3 + 4 + 6 + 7 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23255030016 + 142938437184 = 152496^2 + 378072^2 .

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5297962 + ... + 5329238.

Almost surely, 2^166193467200 is an apocalyptic number.

166193467200 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 166193467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312902515926).

166193467200 is an abundant number, since it is smaller than the sum of its proper divisors (459611564652).

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

166193467200 is a wasteful number, since it uses less digits than its factorization.

166193467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31352 (or 31328 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 166193467200 in words is "one hundred sixty-six billion, one hundred ninety-three million, four hundred sixty-seven thousand, two hundred".