163641467808 has 576 divisors, whose sum is σ = 629430480000. Its totient is φ = 40884092928.

The previous prime is 163641467791. The next prime is 163641467813. The reversal of 163641467808 is 808764146361.

163641467808 is a `hidden beast` number, since 1 + 63 + 6 + 41 + 467 + 80 + 8 = 666.

163641467808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10449168 + ... + 10464816.

It is an arithmetic number, because the mean of its divisors is an integer number (1092761250).

Almost surely, 2^163641467808 is an apocalyptic number.

163641467808 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 163641467808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314715240000).

163641467808 is an abundant number, since it is smaller than the sum of its proper divisors (465789012192).

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

163641467808 is a wasteful number, since it uses less digits than its factorization.

163641467808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15714 (or 15693 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 163641467808 in words is "one hundred sixty-three billion, six hundred forty-one million, four hundred sixty-seven thousand, eight hundred eight".