164181168 has 50 divisors (see below), whose sum is σ = 475191684. Its totient is φ = 54726624.

The previous prime is 164181139. The next prime is 164181217. The reversal of 164181168 is 861181461.

164181168 is a `hidden beast` number, since 1 + 641 + 8 + 1 + 1 + 6 + 8 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62046 + ... + 64637.

Almost surely, 2^164181168 is an apocalyptic number.

164181168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164181168 is an abundant number, since it is smaller than the sum of its proper divisors (311010516).

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

164181168 is a wasteful number, since it uses less digits than its factorization.

164181168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126703 (or 126688 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 164181168 is about 12813.3199444953. The cubic root of 164181168 is about 547.5718502064.

The spelling of 164181168 in words is "one hundred sixty-four million, one hundred eighty-one thousand, one hundred sixty-eight".