167109820416 has 768 divisors, whose sum is σ = 624773990400. Its totient is φ = 43210506240.

The previous prime is 167109820393. The next prime is 167109820481. The reversal of 167109820416 is 614028901761.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 749371281 + ... + 749371503.

It is an arithmetic number, because the mean of its divisors is an integer number (813507800).

Almost surely, 2^167109820416 is an apocalyptic number.

167109820416 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 167109820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312386995200).

167109820416 is an abundant number, since it is smaller than the sum of its proper divisors (457664169984).

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

167109820416 is an equidigital number, since it uses as much as digits as its factorization.

167109820416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 167109820416 in words is "one hundred sixty-seven billion, one hundred nine million, eight hundred twenty thousand, four hundred sixteen".