163909900475712 has 448 divisors, whose sum is σ = 495775134432000. Its totient is φ = 53081683623936.

The previous prime is 163909900475683. The next prime is 163909900475723. The reversal of 163909900475712 is 217574009909361.

163909900475712 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 0 + 9 + 90 + 0 + 475 + 71 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 163909900475712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32057478468 + ... + 32057483580.

Almost surely, 2^{163909900475712} is an apocalyptic number.

163909900475712 is a gapful number since it is divisible by the number (12) 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 163909900475712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247887567216000).

163909900475712 is an abundant number, since it is smaller than the sum of its proper divisors (331865233956288).

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

163909900475712 is a wasteful number, since it uses less digits than its factorization.

163909900475712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8815 (or 8799 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 163909900475712 in words is "one hundred sixty-three trillion, nine hundred nine billion, nine hundred million, four hundred seventy-five thousand, seven hundred twelve".