163384107264 has 405 divisors, whose sum is σ = 568138533501. Its totient is φ = 46564761600.

The previous prime is 163384107253. The next prime is 163384107269. The reversal of 163384107264 is 462701483361.

The square root of 163384107264 is 404208.

It is a perfect power (a square), and thus also a powerful number.

163384107264 is a `hidden beast` number, since 1 + 6 + 3 + 384 + 1 + 0 + 7 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 161758404864 + 1625702400 = 402192^2 + 40320^2 .

It is not an unprimeable number, because it can be changed into a prime (163384107269) 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 44 ways as a sum of consecutive naturals, for example, 407441464 + ... + 407441864.

Almost surely, 2^163384107264 is an apocalyptic number.

163384107264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

163384107264 is the 404208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163384107264

163384107264 is an abundant number, since it is smaller than the sum of its proper divisors (404754426237).

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

163384107264 is an frugal number, since it uses more digits than its factorization.

163384107264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 163384107264 in words is "one hundred sixty-three billion, three hundred eighty-four million, one hundred seven thousand, two hundred sixty-four".