166227731712 has 432 divisors, whose sum is σ = 575008922880. Its totient is φ = 47228977152.

The previous prime is 166227731693. The next prime is 166227731717. The reversal of 166227731712 is 217137722661.

166227731712 is a `hidden beast` number, since 1 + 6 + 62 + 277 + 317 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166227731717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65365513 + ... + 65368055.

Almost surely, 2^166227731712 is an apocalyptic number.

166227731712 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 166227731712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287504461440).

166227731712 is an abundant number, since it is smaller than the sum of its proper divisors (408781191168).

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

166227731712 is a wasteful number, since it uses less digits than its factorization.

166227731712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2748 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The spelling of 166227731712 in words is "one hundred sixty-six billion, two hundred twenty-seven million, seven hundred thirty-one thousand, seven hundred twelve".