168164897472 has 896 divisors, whose sum is σ = 621031219200. Its totient is φ = 43893964800.

The previous prime is 168164897423. The next prime is 168164897491. The reversal of 168164897472 is 274798461861.

168164897472 is a `hidden beast` number, since 1 + 6 + 8 + 16 + 489 + 74 + 72 = 666.

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 127 ways as a sum of consecutive naturals, for example, 222146118 + ... + 222146874.

It is an arithmetic number, because the mean of its divisors is an integer number (693115200).

Almost surely, 2^168164897472 is an apocalyptic number.

168164897472 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 168164897472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310515609600).

168164897472 is an abundant number, since it is smaller than the sum of its proper divisors (452866321728).

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

168164897472 is a wasteful number, since it uses less digits than its factorization.

168164897472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 846 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 168164897472 in words is "one hundred sixty-eight billion, one hundred sixty-four million, eight hundred ninety-seven thousand, four hundred seventy-two".