168922413072 has 240 divisors, whose sum is σ = 548012424960. Its totient is φ = 47577120768.

The previous prime is 168922413067. The next prime is 168922413091. The reversal of 168922413072 is 270314229861.

168922413072 is a `hidden beast` number, since 16 + 8 + 92 + 241 + 307 + 2 = 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 47 ways as a sum of consecutive naturals, for example, 25711804 + ... + 25718372.

It is an arithmetic number, because the mean of its divisors is an integer number (2283385104).

Almost surely, 2^168922413072 is an apocalyptic number.

168922413072 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 168922413072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274006212480).

168922413072 is an abundant number, since it is smaller than the sum of its proper divisors (379090011888).

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

168922413072 is a wasteful number, since it uses less digits than its factorization.

168922413072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950 (or 6941 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 168922413072 in words is "one hundred sixty-eight billion, nine hundred twenty-two million, four hundred thirteen thousand, seventy-two".