168413087808 has 672 divisors, whose sum is σ = 611097177600. Its totient is φ = 44146851840.

The previous prime is 168413087803. The next prime is 168413087827. The reversal of 168413087808 is 808780314861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (168413087803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137704285 + ... + 137705507.

It is an arithmetic number, because the mean of its divisors is an integer number (909370800).

Almost surely, 2^168413087808 is an apocalyptic number.

168413087808 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 168413087808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305548588800).

168413087808 is an abundant number, since it is smaller than the sum of its proper divisors (442684089792).

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

168413087808 is a wasteful number, since it uses less digits than its factorization.

168413087808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 168413087808 in words is "one hundred sixty-eight billion, four hundred thirteen million, eighty-seven thousand, eight hundred eight".