167942822112 has 288 divisors, whose sum is σ = 546751531872. Its totient is φ = 48441065472.

The previous prime is 167942822111. The next prime is 167942822137. The reversal of 167942822112 is 211228249761.

167942822112 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 428 + 2 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×167942822112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167942822111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16352403 + ... + 16362669.

It is an arithmetic number, because the mean of its divisors is an integer number (1898442819).

Almost surely, 2^167942822112 is an apocalyptic number.

167942822112 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 167942822112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273375765936).

167942822112 is an abundant number, since it is smaller than the sum of its proper divisors (378808709760).

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

167942822112 is a wasteful number, since it uses less digits than its factorization.

167942822112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10570 (or 10559 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 167942822112 in words is "one hundred sixty-seven billion, nine hundred forty-two million, eight hundred twenty-two thousand, one hundred twelve".