163404407808 has 220 divisors, whose sum is σ = 504791059740. Its totient is φ = 52589150208.

The previous prime is 163404407807. The next prime is 163404407809. The reversal of 163404407808 is 808704404361.

163404407808 is a `hidden beast` number, since 1 + 634 + 0 + 4 + 4 + 0 + 7 + 8 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (163404407807) and next prime (163404407809).

It can be written as a sum of positive squares in 2 ways, for example, as 122645643264 + 40758764544 = 350208^2 + 201888^2 .

It is not an unprimeable number, because it can be changed into a prime (163404407807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2371410 + ... + 2439342.

It is an arithmetic number, because the mean of its divisors is an integer number (2294504817).

Almost surely, 2^163404407808 is an apocalyptic number.

163404407808 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 163404407808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252395529870).

163404407808 is an abundant number, since it is smaller than the sum of its proper divisors (341386651932).

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

163404407808 is an equidigital number, since it uses as much as digits as its factorization.

163404407808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67994 (or 67967 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 163404407808 in words is "one hundred sixty-three billion, four hundred four million, four hundred seven thousand, eight hundred eight".