168180101856 has 288 divisors, whose sum is σ = 562947211008. Its totient is φ = 47132098560.

The previous prime is 168180101827. The next prime is 168180101861. The reversal of 168180101856 is 658101081861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930470 + ... + 2015706.

It is an arithmetic number, because the mean of its divisors is an integer number (1954677816).

Almost surely, 2^168180101856 is an apocalyptic number.

168180101856 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 168180101856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281473605504).

168180101856 is an abundant number, since it is smaller than the sum of its proper divisors (394767109152).

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

168180101856 is a wasteful number, since it uses less digits than its factorization.

168180101856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85314 (or 85303 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 168180101856 in words is "one hundred sixty-eight billion, one hundred eighty million, one hundred one thousand, eight hundred fifty-six".