168192074664 has 144 divisors (see below), whose sum is σ = 481739181300. Its totient is φ = 53004768768.

The previous prime is 168192074657. The next prime is 168192074681. The reversal of 168192074664 is 466470291861.

168192074664 is a `hidden beast` number, since 16 + 81 + 92 + 0 + 7 + 466 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136848204900 + 31343869764 = 369930^2 + 177042^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 168192074664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13223572 + ... + 13236284.

Almost surely, 2^168192074664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168192074664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240869590650).

168192074664 is an abundant number, since it is smaller than the sum of its proper divisors (313547106636).

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

168192074664 is a wasteful number, since it uses less digits than its factorization.

168192074664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13272 (or 13246 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 168192074664 in words is "one hundred sixty-eight billion, one hundred ninety-two million, seventy-four thousand, six hundred sixty-four".