163617014016 has 225 divisors, whose sum is σ = 497258566651. Its totient is φ = 53509966848.

The previous prime is 163617014003. The next prime is 163617014023. The reversal of 163617014016 is 610410716361.

The square root of 163617014016 is 404496.

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

163617014016 is a `hidden beast` number, since 1 + 636 + 1 + 7 + 0 + 1 + 4 + 0 + 16 = 666.

163617014016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31935119616 + 131681894400 = 178704^2 + 362880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 3087113446 + ... + 3087113498.

Almost surely, 2^163617014016 is an apocalyptic number.

163617014016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

163617014016 is the 404496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163617014016

163617014016 is an abundant number, since it is smaller than the sum of its proper divisors (333641552635).

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

163617014016 is an frugal number, since it uses more digits than its factorization.

163617014016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 163617014016 by its sum of digits (36), we get a square (5890212504576 = 2426976²).

163617014016 divided by its sum of digits (36) gives a square (4544917056 = 67416²).

The spelling of 163617014016 in words is "one hundred sixty-three billion, six hundred seventeen million, fourteen thousand, sixteen".