167311117718160 has 640 divisors, whose sum is σ = 580378613391360. Its totient is φ = 39606797918208.

The previous prime is 167311117718159. The next prime is 167311117718161. The reversal of 167311117718160 is 61817711113761.

It is an interprime number because it is at equal distance from previous prime (167311117718159) and next prime (167311117718161).

It is a super-2 number, since 2×167311117718160² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (167311117718161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36795933007 + ... + 36795937553.

It is an arithmetic number, because the mean of its divisors is an integer number (906841583424).

Almost surely, 2^{167311117718160} is an apocalyptic number.

167311117718160 is a gapful number since it is divisible by the number (10) 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 167311117718160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290189306695680).

167311117718160 is an abundant number, since it is smaller than the sum of its proper divisors (413067495673200).

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

167311117718160 is a wasteful number, since it uses less digits than its factorization.

167311117718160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8935 (or 8929 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 51.

The spelling of 167311117718160 in words is "one hundred sixty-seven trillion, three hundred eleven billion, one hundred seventeen million, seven hundred eighteen thousand, one hundred sixty".