166182912000 has 1296 divisors, whose sum is σ = 727264373472. Its totient is φ = 36333158400.

The previous prime is 166182911963. The next prime is 166182912011. The reversal of 166182912000 is 219281661.

166182912000 is a `hidden beast` number, since 1 + 6 + 618 + 29 + 12 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7225343989 + ... + 7225344011.

It is an arithmetic number, because the mean of its divisors is an integer number (561160782).

Almost surely, 2^166182912000 is an apocalyptic number.

166182912000 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 166182912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363632186736).

166182912000 is an abundant number, since it is smaller than the sum of its proper divisors (561081461472).

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

166182912000 is an frugal number, since it uses more digits than its factorization.

166182912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 166182912000 in words is "one hundred sixty-six billion, one hundred eighty-two million, nine hundred twelve thousand".