167215972968 has 256 divisors, whose sum is σ = 543156192000. Its totient is φ = 47689896960.

The previous prime is 167215972949. The next prime is 167215972969. The reversal of 167215972968 is 869279512761.

167215972968 is a `hidden beast` number, since 16 + 7 + 2 + 1 + 597 + 29 + 6 + 8 = 666.

167215972968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×167215972968² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (167215972969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3246198 + ... + 3297306.

It is an arithmetic number, because the mean of its divisors is an integer number (2121703875).

Almost surely, 2^167215972968 is an apocalyptic number.

167215972968 is a gapful number since it is divisible by the number (18) 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 167215972968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271578096000).

167215972968 is an abundant number, since it is smaller than the sum of its proper divisors (375940219032).

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

167215972968 is a wasteful number, since it uses less digits than its factorization.

167215972968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51164 (or 51142 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 167215972968 in words is "one hundred sixty-seven billion, two hundred fifteen million, nine hundred seventy-two thousand, nine hundred sixty-eight".