167161220100224 has 256 divisors, whose sum is σ = 416996138880000. Its totient is φ = 65082211762176.

The previous prime is 167161220100221. The next prime is 167161220100229. The reversal of 167161220100224 is 422001022161761.

It is not an unprimeable number, because it can be changed into a prime (167161220100221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1553503577 + ... + 1553611175.

It is an arithmetic number, because the mean of its divisors is an integer number (1628891167500).

Almost surely, 2^{167161220100224} is an apocalyptic number.

167161220100224 is a gapful number since it is divisible by the number (14) 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 167161220100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208498069440000).

167161220100224 is an abundant number, since it is smaller than the sum of its proper divisors (249834918779776).

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

167161220100224 is a wasteful number, since it uses less digits than its factorization.

167161220100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111183 (or 111171 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

Adding to 167161220100224 its reverse (422001022161761), we get a palindrome (589162242261985).

The spelling of 167161220100224 in words is "one hundred sixty-seven trillion, one hundred sixty-one billion, two hundred twenty million, one hundred thousand, two hundred twenty-four".