168478856000 has 448 divisors, whose sum is σ = 524114572800. Its totient is φ = 53309491200.

The previous prime is 168478855969. The next prime is 168478856003. The reversal of 168478856000 is 658874861.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168478856003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35669639 + ... + 35674361.

It is an arithmetic number, because the mean of its divisors is an integer number (1169898600).

Almost surely, 2^168478856000 is an apocalyptic number.

168478856000 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 168478856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262057286400).

168478856000 is an abundant number, since it is smaller than the sum of its proper divisors (355635716800).

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

168478856000 is an equidigital number, since it uses as much as digits as its factorization.

168478856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The spelling of 168478856000 in words is "one hundred sixty-eight billion, four hundred seventy-eight million, eight hundred fifty-six thousand".