167085656816 has 80 divisors (see below), whose sum is σ = 369574783200. Its totient is φ = 72494383104.

The previous prime is 167085656813. The next prime is 167085656819. The reversal of 167085656816 is 618656580761.

167085656816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (167085656813) and next prime (167085656819).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167085656813) 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 15 ways as a sum of consecutive naturals, for example, 3009920 + ... + 3064928.

It is an arithmetic number, because the mean of its divisors is an integer number (4619684790).

Almost surely, 2^167085656816 is an apocalyptic number.

167085656816 is a gapful number since it is divisible by the number (16) 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 167085656816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184787391600).

167085656816 is an abundant number, since it is smaller than the sum of its proper divisors (202489126384).

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

167085656816 is a wasteful number, since it uses less digits than its factorization.

167085656816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55906 (or 55900 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 59.

The spelling of 167085656816 in words is "one hundred sixty-seven billion, eighty-five million, six hundred fifty-six thousand, eight hundred sixteen".